Torus actions and their applications in topology and combinatorics. Zbl 1012.52021
Buchstaber, Victor M.; Panov, Taras E. |
|
2002
|
Toric topology. Zbl 1375.14001
Buchstaber, Victor M.; Panov, Taras E. |
|
2015
|
Kleinian functions, hyperelliptic Jacobians and applications. Zbl 0911.14019
Buchstaber, V. M.; Enolskii, V. Z.; Leykin, D. V. |
|
1997
|
Rational analogues of Abelian functions. Zbl 1056.14049
Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. |
|
1999
|
Algebras of cellular cochains, and torus actions. Zbl 1068.52020
Baskakov, I. V.; Bukhshtaber, V. M.; Panov, T. E. |
|
2004
|
Torus actions, combinatorial topology, and homological algebra. Zbl 1010.52011
Buchstaber, Victor M.; Panov, Taras E. |
|
2000
|
Functional equations associated with addition theorems for elliptic functions and two-valued algebraic groups. Zbl 0724.39005
Bukhshtaber, V. M. |
|
1990
|
Cohomological rigidity of manifolds defined by 3-dimensional polytopes. Zbl 1383.57038
Buchstaber, V. M.; Erokhovets, N. Yu.; Masuda, M.; Panov, T. E.; Park, S. |
|
2017
|
Elliptic Dunkl operators, root systems, and functional equations. Zbl 0842.35128
Buchstaber, V. M.; Felder, G.; Veselov, A. P. |
|
1994
|
Hyperelliptic Kleinian functions and applications. Zbl 0911.14020
Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. |
|
1997
|
Applied statistics. Classification and reduction of dimensionality. Reference edition. (Prikladnaya statistika. Klassifikatsiya i snizhenie razmernosti. Spravochnoe izdanie).
Ed. by S. A. Ajvazyan.
(Prikladnaya statistika. Klassifikatsiya i snizhenie razmernosti. Spravochnoe izdanie.) Zbl 0719.62070
Ajvazyan, S. A.; Bukhshtaber, V. M.; Enyukov, I. S.; Meshalkin, L. D. |
|
1989
|
Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations. Zbl 0978.58012
Bukhshtaber, V. M.; Ènol’skiĭ, V. Z.; Leĭkin, D. V. |
|
2000
|
Formal groups, power systems and Adams operators. Zbl 0222.55008
Bukhshtaber, V. M.; Novikov, S. P. |
|
1971
|
Spaces of polytopes and cobordism of quasitoric manifolds. Zbl 1176.55004
Buchstaber, Victor M.; Panov, Taras E.; Ray, Nigel |
|
2007
|
Addition laws on Jacobian varieties of plane algebraic curves. Zbl 1132.14024
Bukhshtaber, V. M.; Leĭkin, D. V. |
|
2005
|
Tangential structures on toric manifolds, and connected sums of polytopes. Zbl 0996.52013
Buchstaber, Victor M.; Ray, Nigel |
|
2001
|
\(n\)-valued groups: theory and applications. Zbl 1129.20045
Buchstaber, Victor M. |
|
2006
|
Torus actions and combinatorics of polytopes. Zbl 0996.52012
Buchstaber, V. M.; Panov, T. E. |
|
1999
|
Solution of the problem of differentiation of abelian functions over parameters for families of \((n, s)\)-curves. Zbl 1156.14315
Bukhshtaber, V. M.; Leĭkin, D. V. |
|
2008
|
Polynomial Lie algebras. Zbl 1027.17020
Bukhshtaber, V. M.; Leĭkin, D. V. |
|
2002
|
Rotation number quantization effect. Zbl 1196.81132
Buchstaber, V. M.; Karpov, O. V.; Tertychniy, S. I. |
|
2010
|
Polynomial dynamical systems and the Korteweg-de Vries equation. Zbl 1360.14093
Buchstaber, V. M. |
|
2016
|
Heat equations in a nonholomic frame. Zbl 1069.47019
Bukhshtaber, V. M.; Leĭkin, D. V. |
|
2004
|
Truncations of simple polytopes and applications. Zbl 1351.51019
Buchstaber, V. M.; Erokhovets, N. Yu. |
|
2015
|
Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction. Zbl 1326.82028
Buchstaber, V. M.; Tertychnyi, S. I. |
|
2015
|
Explicit solution family for the equation of the resistively shunted Josephson junction model. Zbl 1291.34002
Buchstaber, V. M.; Tertychniy, S. I. |
|
2013
|
Krichever formal groups. Zbl 1271.55005
Buchstaber, V. M.; Bunkova, E. Yu. |
|
2011
|
Complex cobordism and formal groups. Zbl 1275.55004
Buchstaber, V. M. |
|
2012
|
Ring of simple polytopes and differential equations. Zbl 1184.52012
Buchstaber, V. M. |
|
2008
|
Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306
Bukhshtaber, V. M.; Krichever, I. M. |
|
2006
|
Toric genera. Zbl 1206.57039
Buchstaber, Victor; Panov, Taras; Ray, Nigel |
|
2010
|
Rings of continuous functions, symmetric products, and Frobenius algebras. Zbl 1065.54007
Bukhshtaber, V. M.; Rees, E. G. |
|
2003
|
Integrable correspondences and algebraic representations of multivalued groups. Zbl 0885.58018
Buchstaber, V. M.; Veselov, A. P. |
|
1996
|
Topology and geometry of the canonical action of \(T^4\) on the complex Grassmannian \(G_{4,2}\) and the complex projective space \(\mathbb{C}P^5\). Zbl 1376.57041
Buchstaber, Victor M.; Terzić, Svjetlana |
|
2016
|
\(\sigma\)-functions: old and new results. Zbl 1473.14057
Buchstaber, V. M.; Enolski, V. Z.; Leykin, D. V. |
|
2020
|
Toric topology of the complex Grassmann manifolds. Zbl 1469.57035
Buchstaber, V. M.; Terzić, S. |
|
2019
|
Vector addition theorems and Baker-Akhiezer functions. Zbl 0803.39006
Bukhshtaber, V. M.; Krichever, I. M. |
|
1993
|
Automorphisms of the solution spaces of special double-confluent Heun equations. Zbl 1360.34176
Buchstaber, V. M.; Tertychnyi, S. I. |
|
2016
|
Toric manifolds and complex cobordisms. Zbl 0967.57030
Bukhshtaber, V. M.; Ray, N. |
|
1998
|
Dieudonné modules and \(p\)-divisible groups associated with Morava \(kK\)-theory of Eilenberg-Mac Lane spaces. Zbl 1134.55004
Buchstaber, Victor; Lazarev, Andrey |
|
2007
|
Trilinear functional equations. Zbl 1093.14049
Bukhshtaber, V. M.; Lejkin, D. V. |
|
2005
|
Landweber-Novikov algebra and formal vector fields on the line. Zbl 0402.55008
Bukhshtaber, V. M.; Shokurov, A. V. |
|
1978
|
Multivalued groups, their representations and Hopf algebras. Zbl 0891.20044
Buchstaber, V. M.; Rees, E. G. |
|
1997
|
On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108
Buchstaber, V. M.; Glutsyuk, A. A. |
|
2017
|
Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes. Zbl 1378.05196
Buchstaber, Victor M.; Erokhovets, Nikolai Yu. |
|
2017
|
On the properties of a differential equation describing the dynamics of a strongly shunted Josephson junction. Zbl 1113.34302
Bukhshtaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. |
|
2003
|
A system on a torus modelling the dynamics of a Josephson junction. Zbl 1248.34062
Buchstaber, V. M.; Karpov, O. V.; Tertychnyj, S. I. |
|
2012
|
The Yang-Baxter transformation. Zbl 1015.17012
Bukhshtaber, V. M. |
|
1998
|
Coefficient rings of formal group laws. Zbl 1362.14047
Buchstaber, V. M.; Ustinov, A. V. |
|
2015
|
Sharp upper and lower bounds for nestohedra. Zbl 1237.52006
Buchstaber, V. M.; Volodin, V. D. |
|
2011
|
Formal groups and their role in the apparatus of algebraic topology. Zbl 0226.55007
Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. |
|
1972
|
The Chern-Dold character in cobordisms. I. Zbl 0219.57027
Bukhshtaber, V. M. |
|
1971
|
Nerve complexes and moment-angle spaces of convex polytopes. Zbl 1298.52017
Ayzenberg, A. A.; Buchstaber, V. M. |
|
2011
|
\(\sigma\)-functions of \((n,s)\)-curves. Zbl 1081.14519
Bukhshtaber, V. M.; Leĭkin, D. V.; Ènol’skiĭ, V. Z. |
|
1999
|
Combinatorial 2-truncated cubes and applications. Zbl 1271.52011
Buchstaber, Victor M.; Volodin, Vadim D. |
|
2012
|
The general analytic solution of a functional equation of addition type. Zbl 0873.39010
Braden, H. W.; Buchstaber, V. M. |
|
1997
|
On manifolds defined by 4-colourings of simple 3-polytopes. Zbl 1365.57040
Buchstaber, V. M.; Panov, T. E. |
|
2016
|
On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004
Buchstaber, V. M.; Glutsyuk, A. A. |
|
2016
|
An invitation to toric topology: vertex four of a remarkable tetrahedron. Zbl 1155.57300
Buchstaber, Victor M.; Ray, Nigel |
|
2008
|
Combinatorial algebras and multivalued involutive groups. Zbl 0878.05082
Buchstaber, V. M.; Evdokimov, S. A.; Ponomarenko, I. N.; Vershik, A. M. |
|
1996
|
Formal groups, functional equations and generalized cohomology theories. Zbl 0694.55008
Bukhshtaber, V. M.; Kholodov, A. N. |
|
1990
|
The Gelfand map and symmetric products. Zbl 1015.05092
Buchstaber, V. M.; Rees, E. G. |
|
2002
|
Fullerenes, polytopes and toric topology. Zbl 1414.52006
Buchstaber, Victor M.; Erokhovets, Nikolay Yu. |
|
2018
|
Der Chern-Doldsche Charakter in Kobordismen. I. Zbl 0204.23503
Bukhshtaber, V. M. |
|
1970
|
Formal groups and their role in the apparatus of algebraic topology. Zbl 0224.57006
Bukhshtaber, V. M.; Mishchenko, A. S.; Novikov, S. P. |
|
1971
|
The foundations of \((2n,k)\)-manifolds. Zbl 1427.57021
Buchstaber, V. M.; Terzić, S. |
|
2019
|
Multivalued groups and Hopf \(n\)-algebras. Zbl 0879.20042
Bukhshtaber, V. M.; Rees, E. G. |
|
1996
|
Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves. Zbl 1425.17031
Bukhshtaber, V. M.; Mikhaĭlov, A. V. |
|
2017
|
Torus actions in topology and combinatorics.
(Торические действия в топологии и комбинаторике.) Zbl 1107.52010
Bukhshtaber, V. M.; Panov, T. E. |
|
2004
|
Zweiwertige formale Gruppen. Algebraische Theorie und Anwendung auf Cobordismen. I. Zbl 0324.14010
Bukhshtaber, V. M. |
|
1975
|
Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions. Zbl 1239.52006
Bukhshtaber, V. M.; Erokhovets, N. Yu |
|
2011
|
Yang-Baxter maps, Darboux transformations, and linear approximations of refactorisation problems. Zbl 1519.58020
Buchstaber, V. M.; Igonin, S.; Konstantinou-Rizos, S.; Preobrazhenskaia, M. M. |
|
2020
|
On a remarkable sequence of Bessel matrices. Zbl 1345.15008
Bukhshtaber, V. M.; Tertychnyi, S. I. |
|
2015
|
\( \mathbb{C}P(2)\)-multiplicative Hirzebruch genera and elliptic cohomology. Zbl 1367.57019
Buchstaber, V. M.; Netay, E. Yu |
|
2014
|
Coefficient rings of Tate formal groups determining Krichever genera. Zbl 1348.14111
Bunkova, E. Yu.; Buchstaber, V. M.; Ustinov, A. V. |
|
2016
|
Manifolds of solutions for Hirzebruch functional equations. Zbl 1331.32014
Buchstaber, V. M.; Bunkova, E. Yu. |
|
2015
|
K-theory on the category of finite cell complexes. Zbl 0182.25803
Bukhshtaber, V. M.; Mishchenko, A. S. |
|
1969
|
Massey products, toric topology and combinatorics of polytopes. Zbl 1430.13034
Buchstaber, Viktor M.; Limonchenko, Ivan Yu. |
|
2019
|
Groups of polynomial transformations of a line, non-formal symplectic manifolds, and the Landweber-Novikov algebra. Zbl 1050.53069
Bukhshtaber, V. M. |
|
1999
|
The Landweber-Novikov algebra and formal vector fields on the line. Zbl 0409.55004
Bukhshtaber, V. M.; Shokurov, A. V. |
|
1979
|
Multidimensional vector addition theorems and the Riemann theta functions. Zbl 1061.14502
Buchstaber, V.; Krichever, I. |
|
1996
|
On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera. Zbl 0870.39009
Buchstaber, V. M.; Veselov, A. P. |
|
1996
|
Formal groups, functional equations, and generalized cohomology theories. Zbl 0716.55006
Bukhshtaber, V. M.; Kholodov, A. N. |
|
1991
|
Manifolds of isospectral matrices and Hessenberg varieties. Zbl 1481.14075
Ayzenberg, Anton; Buchstaber, Victor |
|
2021
|
The universal formal group that defines the elliptic function of level 3. Zbl 1441.55003
Bukhshtaber, V. M.; Bunkova, E. Yu. |
|
2015
|
The \(w\)-function of the KdV hierarchy. Zbl 1075.37024
Buchstaber, V. M.; Shorina, S. Yu. |
|
2004
|
Modules of differentials of the Atiyah-Hirzebruch spectral sequence. II. Zbl 0222.57029
Bukhshtaber, V. M. |
|
1971
|
Formal groups, power systems and Adams operators. Zbl 0239.55005
Bukhshtaber, V. M.; Novikov, S. P. |
|
1971
|
Projektoren in unitären Kobordismen, die mit der SU-Theorie zusammenhängen. Zbl 0249.57021
Bukhshtaber, V. M. |
|
1972
|
Differentiation of abelian functions with respect to parameters. Zbl 1152.14044
Bukhshtaber, V. M.; Leĭkin, D. V. |
|
2007
|
Semigroups of maps into groups, operator doubles, and complex cobordisms. Zbl 0846.57023
Buchstaber, V. M. |
|
1995
|
Multivalued groups, \(n\)-Hopf algebras and \(n\)-ring homomorphisms. Zbl 0903.20039
Buchstaber, V. M.; Rees, E. G. |
|
1998
|
Flag manifolds and the Landweber-Novikov algebra. Zbl 0907.57025
Buchstaber, Victor M.; Ray, Nigel |
|
1998
|
Frobenius \(n\)-homomorphisms, transfers and branched coverings. Zbl 1152.46017
Buchstaber, V. M.; Rees, E. G. |
|
2008
|
Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102
Buchstaber, V. M.; Glutsyuk, A. A. |
|
2019
|
Two-valued groups, Kummer varieties, and integrable billiards. Zbl 1403.14062
Buchstaber, V. M.; Dragović, Vladimir |
|
2018
|
Generalized Kramers-Wannier duality for spin systems with non-commutative symmetry. Zbl 1057.81063
Buchstaber, Victor M.; Monastyrsky, Michael I. |
|
2003
|
Egorov hydrodynamic chains, the Chazy equation, and the group \(SL(2,\mathbb C)\). Zbl 1075.37527
Bukhshtaber, V. M.; Lejkin, D. V.; Pavlov, M. V. |
|
2003
|
Cobordisms, manifolds with torus action, and functional equations. Zbl 1431.57033
Buchstaber, V. M. |
|
2018
|
Quasilinear Burgers-Hopf equation and Stasheff polytopes. Zbl 1157.18006
Buchstaber, V. M.; Koritskaya, E. V. |
|
2007
|
Chern-Dold character in complex cobordisms and theta divisors. Zbl 07863027
Buchstaber, V. M.; Veselov, A. P. |
|
2024
|
KdV hierarchies and quantum Novikov’s equations. Zbl 07915234
Buchstaber, Victor M.; Mikhailov, Alexander V. |
|
2024
|
The Mumford dynamical system and hyperelliptic Kleinian functions. Zbl 1540.35336
Buchstaber, V. M. |
|
2023
|
Parametric Korteweg-de Vries hierarchy and hyperelliptic sigma functions. Zbl 1512.35514
Bunkova, E. Yu.; Bukhshtaber, V. M. |
|
2022
|
Evgenii Vital’evich Shchepin (on his 70th birthday). Zbl 1518.01024
Buslaev, V. I.; Buchstaber, V. M.; Dranishnikov, A. N.; Kliatskine, V. M.; Melikhov, S. A.; Montejano, L.; Novikov, S. P.; Semenov, P. V. |
|
2022
|
Classification of involutive commutative two-valued groups. Zbl 1526.20085
Buchstaber, Victor M.; Veselov, Alexander P.; Gaifullin, Alexander A. |
|
2022
|
Resolution of singularities of the orbit spaces \(G_{n,2}/T^n\). Zbl 1514.14062
Buchstaber, V. M.; Terzić, S. |
|
2022
|
Relationships between hyperelliptic functions of genus 2 and elliptic functions. Zbl 1481.14057
Ayano, Takanori; Buchstaber, Victor M. |
|
2022
|
Manifolds of isospectral matrices and Hessenberg varieties. Zbl 1481.14075
Ayzenberg, Anton; Buchstaber, Victor |
|
2021
|
Integrable polynomial Hamiltonian systems and symmetric powers of plane algebraic curves. Zbl 1484.14072
Buchstaber, Victor M.; Mikhailov, Alexander V. |
|
2021
|
Manifolds of isospectral arrow matrices. Zbl 1468.58009
Ayzenberg, Anton A.; Buchstaber, Victor M. |
|
2021
|
Igor’ Moiseevich Krichever. Zbl 1489.01018
Buchstaber, V. M.; Varchenko, A. N.; Veselov, A. P.; Grinevich, P. G.; Grushevsky, S. M.; Dobrokhotov, S. Yu.; Zabrodin, A. V.; Marshakov, A. V.; Mironov, A. E.; Nekrasov, N. A.; Novikov, S. P.; Okounkov, A. Yu.; Olshanetsky, M. A.; Pogrebkov, A. K.; Taimanov, I. A.; Tsfasman, M. A.; Chekhov, L. O.; Sheinman, O. K.; Shlosman, S. B. |
|
2021
|
Hyperelliptic sigma functions and Adler-Moser polynomials. Zbl 07483019
Buchstaber, V. M.; Bunkova, E. Yu. |
|
2021
|
\(\sigma\)-functions: old and new results. Zbl 1473.14057
Buchstaber, V. M.; Enolski, V. Z.; Leykin, D. V. |
|
2020
|
Yang-Baxter maps, Darboux transformations, and linear approximations of refactorisation problems. Zbl 1519.58020
Buchstaber, V. M.; Igonin, S.; Konstantinou-Rizos, S.; Preobrazhenskaia, M. M. |
|
2020
|
Sigma functions and Lie algebras of Schrödinger operators. Zbl 1471.35104
Buchstaber, V. M.; Bunkova, E. Yu. |
|
2020
|
Lie algebras of heat operators in a nonholonomic frame. Zbl 1450.37064
Buchstaber, V. M.; Bunkova, E. Yu. |
|
2020
|
Victor Enolski (1945–2019). Zbl 1454.01051
Previato, Emma; Buchstaber, V. M.; Matveev, Vladimir B.; Eilbeck, J. C.; Braden, Harry; Kunz, Jutta; Lämmerzahl, Claus |
|
2020
|
Partially framed manifolds and loop spaces on the group \(\operatorname{SU}(2)\). Zbl 1453.57021
Buchstaber, V. M. |
|
2020
|
Analytical and number-theoretical properties of the two-dimensional sigma function. Zbl 1455.11037
Ayano, Takanori; Bukhshtaber, Viktor Matveevich |
|
2020
|
Toric topology of the complex Grassmann manifolds. Zbl 1469.57035
Buchstaber, V. M.; Terzić, S. |
|
2019
|
The foundations of \((2n,k)\)-manifolds. Zbl 1427.57021
Buchstaber, V. M.; Terzić, S. |
|
2019
|
Massey products, toric topology and combinatorics of polytopes. Zbl 1430.13034
Buchstaber, Viktor M.; Limonchenko, Ivan Yu. |
|
2019
|
Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102
Buchstaber, V. M.; Glutsyuk, A. A. |
|
2019
|
Conway topograph, \(\operatorname{PGL}_2(\mathbb{Z})\)-dynamics and two-valued groups. Zbl 1484.11153
Buchstaber, V. M.; Veselov, A. P. |
|
2019
|
Ultraelliptic integrals and two-dimensional sigma functions. Zbl 1444.32011
Ayano, T.; Buchstaber, V. M. |
|
2019
|
Construction of two parametric deformation of KdV-hierarchy and solution in terms of meromorphic functions on the sigma divisor of a hyperelliptic curve of genus 3. Zbl 1420.14104
Ayano, Takanori; Buchstaber, Victor M. |
|
2019
|
Fullerenes, polytopes and toric topology. Zbl 1414.52006
Buchstaber, Victor M.; Erokhovets, Nikolay Yu. |
|
2018
|
Two-valued groups, Kummer varieties, and integrable billiards. Zbl 1403.14062
Buchstaber, V. M.; Dragović, Vladimir |
|
2018
|
Cobordisms, manifolds with torus action, and functional equations. Zbl 1431.57033
Buchstaber, V. M. |
|
2018
|
Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation. Zbl 1395.34086
Buchstaber, V. M.; Tertychnyi, S. I. |
|
2018
|
Polynomial Hamiltonian integrable systems on symmetric powers of plane curves. Zbl 1419.14053
Buchstaber, Viktor M.; Mikhailov, Aleksandr V. |
|
2018
|
Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Zbl 1412.37003
|
|
2018
|
Cohomological rigidity of manifolds defined by 3-dimensional polytopes. Zbl 1383.57038
Buchstaber, V. M.; Erokhovets, N. Yu.; Masuda, M.; Panov, T. E.; Park, S. |
|
2017
|
On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108
Buchstaber, V. M.; Glutsyuk, A. A. |
|
2017
|
Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes. Zbl 1378.05196
Buchstaber, Victor M.; Erokhovets, Nikolai Yu. |
|
2017
|
Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves. Zbl 1425.17031
Bukhshtaber, V. M.; Mikhaĭlov, A. V. |
|
2017
|
Polynomial Lie algebras and the Zelmanov-Shalev theorem. Zbl 1435.17009
Buchstaber, Victor M. |
|
2017
|
Polynomial dynamical systems and the Korteweg-de Vries equation. Zbl 1360.14093
Buchstaber, V. M. |
|
2016
|
Topology and geometry of the canonical action of \(T^4\) on the complex Grassmannian \(G_{4,2}\) and the complex projective space \(\mathbb{C}P^5\). Zbl 1376.57041
Buchstaber, Victor M.; Terzić, Svjetlana |
|
2016
|
Automorphisms of the solution spaces of special double-confluent Heun equations. Zbl 1360.34176
Buchstaber, V. M.; Tertychnyi, S. I. |
|
2016
|
On manifolds defined by 4-colourings of simple 3-polytopes. Zbl 1365.57040
Buchstaber, V. M.; Panov, T. E. |
|
2016
|
On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004
Buchstaber, V. M.; Glutsyuk, A. A. |
|
2016
|
Coefficient rings of Tate formal groups determining Krichever genera. Zbl 1348.14111
Bunkova, E. Yu.; Buchstaber, V. M.; Ustinov, A. V. |
|
2016
|
Toric topology. Zbl 1375.14001
Buchstaber, Victor M.; Panov, Taras E. |
|
2015
|
Truncations of simple polytopes and applications. Zbl 1351.51019
Buchstaber, V. M.; Erokhovets, N. Yu. |
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2015
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Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction. Zbl 1326.82028
Buchstaber, V. M.; Tertychnyi, S. I. |
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2015
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Coefficient rings of formal group laws. Zbl 1362.14047
Buchstaber, V. M.; Ustinov, A. V. |
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2015
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On a remarkable sequence of Bessel matrices. Zbl 1345.15008
Bukhshtaber, V. M.; Tertychnyi, S. I. |
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2015
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Manifolds of solutions for Hirzebruch functional equations. Zbl 1331.32014
Buchstaber, V. M.; Bunkova, E. Yu. |
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2015
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The universal formal group that defines the elliptic function of level 3. Zbl 1441.55003
Bukhshtaber, V. M.; Bunkova, E. Yu. |
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2015
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Hirzebruch functional equation and elliptic functions of level \(d\). Zbl 1336.33037
Buchstaber, V. M.; Netay, I. V. |
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2015
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\( \mathbb{C}P(2)\)-multiplicative Hirzebruch genera and elliptic cohomology. Zbl 1367.57019
Buchstaber, V. M.; Netay, E. Yu |
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2014
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Nikolai Petrovich Dolbilin (on his 70th birthday). Zbl 1291.01031
Andreev, N. N.; Buchstaber, V. M.; Garber, A. I.; Kozlov, V. V.; Konovalov, S. P.; Mal’tsev, A. A.; Nesterenko, Yu V.; Novikov, S. P.; Parshin, A. N.; Sabitov, I. Kh; Semenov, A. L.; Sergeev, A. G.; Sheinman, O. K.; Shtogrin, M. I.; Shchepin, E. V. |
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2014
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Dynamical systems on a torus with identity Poincaré map which are associated with the Josephson effect. Zbl 1300.34102
Buchstaber, V. M.; Tertychnyi, S. I. |
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2014
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Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030
Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L. |
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2014
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Hopf algebras and homology of loop suspension spaces. Zbl 1360.55017
Buchstaber, Victor; Grbić, Jelena |
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2014
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Explicit solution family for the equation of the resistively shunted Josephson junction model. Zbl 1291.34002
Buchstaber, V. M.; Tertychniy, S. I. |
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2013
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Toric genera of homogeneous spaces and their fibrations. Zbl 1312.14118
Buchstaber, Victor M.; Terzić, Svjetlana |
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2013
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Complex cobordism and formal groups. Zbl 1275.55004
Buchstaber, V. M. |
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2012
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A system on a torus modelling the dynamics of a Josephson junction. Zbl 1248.34062
Buchstaber, V. M.; Karpov, O. V.; Tertychnyj, S. I. |
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2012
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Combinatorial 2-truncated cubes and applications. Zbl 1271.52011
Buchstaber, Victor M.; Volodin, Vadim D. |
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2012
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Polynomial dynamical systems and ordinary differential equations associated with the heat equation. Zbl 1275.35012
Buchstaber, V. M.; Bunkova, E. Yu. |
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2012
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Krichever formal groups. Zbl 1271.55005
Buchstaber, V. M.; Bunkova, E. Yu. |
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2011
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Sharp upper and lower bounds for nestohedra. Zbl 1237.52006
Buchstaber, V. M.; Volodin, V. D. |
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2011
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Nerve complexes and moment-angle spaces of convex polytopes. Zbl 1298.52017
Ayzenberg, A. A.; Buchstaber, V. M. |
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2011
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Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions. Zbl 1239.52006
Bukhshtaber, V. M.; Erokhovets, N. Yu |
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2011
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Rotation number quantization effect. Zbl 1196.81132
Buchstaber, V. M.; Karpov, O. V.; Tertychniy, S. I. |
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2010
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Toric genera. Zbl 1206.57039
Buchstaber, Victor; Panov, Taras; Ray, Nigel |
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2010
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Addition theorems, formal group laws and integrable systems. Zbl 1253.37071
Buchstaber, V. M.; Bunkova, E. Yu. |
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2010
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The general Krichever genus. Zbl 1226.55004
Buchstaber, V. M. |
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2010
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Heat equations and families of two-dimensional sigma functions. Zbl 1185.37148
Bunkova, E. Yu.; Buchstaber, V. M. |
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2009
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Solution of the problem of differentiation of abelian functions over parameters for families of \((n, s)\)-curves. Zbl 1156.14315
Bukhshtaber, V. M.; Leĭkin, D. V. |
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2008
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Ring of simple polytopes and differential equations. Zbl 1184.52012
Buchstaber, V. M. |
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2008
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An invitation to toric topology: vertex four of a remarkable tetrahedron. Zbl 1155.57300
Buchstaber, Victor M.; Ray, Nigel |
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2008
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Frobenius \(n\)-homomorphisms, transfers and branched coverings. Zbl 1152.46017
Buchstaber, V. M.; Rees, E. G. |
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2008
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Equivariant complex structures on homogeneous spaces and their cobordism classes. Zbl 1170.57026
Buchstaber, Victor M.; Terzić, Svjetlana |
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2008
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Face-polynomials of simple polytopes and the two-parameter Todd genus. Zbl 1184.52011
Buchstaber, V. M. |
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2008
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Mathematical models of the dynamics of an overdamped Josephson junction. Zbl 1180.34043
Buchstaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. |
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2008
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Spaces of polytopes and cobordism of quasitoric manifolds. Zbl 1176.55004
Buchstaber, Victor M.; Panov, Taras E.; Ray, Nigel |
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2007
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Dieudonné modules and \(p\)-divisible groups associated with Morava \(kK\)-theory of Eilenberg-Mac Lane spaces. Zbl 1134.55004
Buchstaber, Victor; Lazarev, Andrey |
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2007
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Differentiation of abelian functions with respect to parameters. Zbl 1152.14044
Bukhshtaber, V. M.; Leĭkin, D. V. |
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2007
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Quasilinear Burgers-Hopf equation and Stasheff polytopes. Zbl 1157.18006
Buchstaber, V. M.; Koritskaya, E. V. |
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2007
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The universal equivariant genus and Krichever’s formula. Zbl 1171.55301
Buchstaber, V. M.; Ray, N. |
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2007
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Kolmogorov and topology. Zbl 1220.01005
Buchstaber, Victor M. |
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2007
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\(n\)-valued groups: theory and applications. Zbl 1129.20045
Buchstaber, Victor M. |
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2006
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Integrable equations, addition theorems, and the Riemann-Schottky problem. Zbl 1134.14306
Bukhshtaber, V. M.; Krichever, I. M. |
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2006
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Representations of \(m\)-valued groups on triangulations of manifolds. Zbl 1123.57013
Buchstaber, V. M.; Gaifullin, A. A. |
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2006
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Functional equations defining multiplication in a continuous Krichever-Novikov basis. Zbl 1152.47302
Bukhshtaber, V. M.; Leĭkin, D. V. |
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2006
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Addition laws on Jacobian varieties of plane algebraic curves. Zbl 1132.14024
Bukhshtaber, V. M.; Leĭkin, D. V. |
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2005
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Trilinear functional equations. Zbl 1093.14049
Bukhshtaber, V. M.; Lejkin, D. V. |
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2005
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The Gelfand transform in commutative algebra. Zbl 1106.13006
Buchstaber, V.; Lazarev, A. |
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2005
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Hyperelliptic addition law. Zbl 1362.33024
Buchstaber, Victor; Leykin, Dmitry |
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2005
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Algebras of cellular cochains, and torus actions. Zbl 1068.52020
Baskakov, I. V.; Bukhshtaber, V. M.; Panov, T. E. |
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2004
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Heat equations in a nonholomic frame. Zbl 1069.47019
Bukhshtaber, V. M.; Leĭkin, D. V. |
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2004
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Torus actions in topology and combinatorics.
(Торические действия в топологии и комбинаторике.) Zbl 1107.52010
Bukhshtaber, V. M.; Panov, T. E. |
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2004
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The \(w\)-function of the KdV hierarchy. Zbl 1075.37024
Buchstaber, V. M.; Shorina, S. Yu. |
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2004
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Combinatorics of simplicial cell complexes and torus actions. Zbl 1098.52003
Bukhshtaber, V. M.; Panov, T. E. |
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2004
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Rings of continuous functions, symmetric products, and Frobenius algebras. Zbl 1065.54007
Bukhshtaber, V. M.; Rees, E. G. |
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2003
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On the properties of a differential equation describing the dynamics of a strongly shunted Josephson junction. Zbl 1113.34302
Bukhshtaber, V. M.; Karpov, O. V.; Tertychnyi, S. I. |
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2003
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...and 83 more Documents |