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Gothen, Peter B.

Co-Author Distance
Author ID: gothen.peter-b Recent zbMATH articles by "Gothen, Peter B."
Published as: Gothen, Peter B.; Gothen, P. B.; Gothen, Peter
Homepage: http://cmup.fc.up.pt/cmup/pbgothen/
External Links: MGP · ORCID
Documents Indexed: 42 Publications since 1994, including 1 Book and 5 Additional arXiv Preprints
1 Contribution as Editor
Co-Authors: 25 Co-Authors with 36 Joint Publications
437 Co-Co-Authors
all top 5

Co-Authors

7 single-authored
17 García-Prada, Oscar
13 Bradlow, Steven B.
8 Oliveira, André G.
3 Collier, Brian
3 Mundet i Riera, Ignasi
3 Nozad, Azizeh
2 Arroyo, Marta Aparicio
2 Castro, Sofia B. S. D.
2 Dakhlia, Sami
2 Franco, Emilio
2 Guedes de Oliveira, António
2 Peón Nieto, Ana
2 Zúñiga-Rojas, Ronald A.
1 Barajas, G.
1 Biswas, Indranil
1 Bradlow, Steve
1 Arango Florentino, Carlos Armindo
1 Heinloth, Jochen
1 Kind, Alastair D.
1 Logares, Marina
1 Melo, Margarida
1 Muñoz Velázquez, Vicente
1 Prada-García, O.
1 Silva, Pedro Miguel
1 Teixidor i Bigas, Montserrat
all top 5

Serials

5 Geometriae Dedicata
2 Topology
2 International Journal of Mathematics
2 Revista Matemática Complutense
2 The College Mathematics Journal
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Bulletin of the London Mathematical Society
1 Inventiones Mathematicae
1 Journal of Differential Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal of Mathematical Economics
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Mathematical Social Sciences
1 IMRN. International Mathematics Research Notices
1 Notices of the American Mathematical Society
1 Bulletin des Sciences Mathématiques
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 The Quarterly Journal of Mathematics
1 Portugaliae Mathematica. Nova Série
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Contemporary Mathematics
1 Journal of Topology
all top 5

Fields

35 Algebraic geometry (14-XX)
11 Differential geometry (53-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Global analysis, analysis on manifolds (58-XX)
3 Functions of a complex variable (30-XX)
3 Manifolds and cell complexes (57-XX)
2 Geometry (51-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Mathematics education (97-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

34 Publications have been cited 509 times in 250 Documents Cited by ▼ Year ▼
Higgs bundles and surface group representations in the real symplectic group. Zbl 1303.14043
García-Prada, O.; Gothen, P. B.; Mundet i Riera, I.
62
2013
Surface group representations and \(U(p,q)\)-Higgs bundles. Zbl 1070.53054
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
56
2003
Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces. Zbl 1132.14029
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
52
2006
Homological algebra of twisted quiver bundles. Zbl 1095.14012
Gothen, Peter B.; Kind, Alastair D.
42
2005
The Betti numbers of the moduli space of stable rank 3 Higgs bundles on a Riemann surface. Zbl 0860.14030
Gothen, Peter B.
41
1994
Betti numbers of the moduli space of rank 3 parabolic Higgs bundles. Zbl 1132.14031
Prada-García, O.; Gothen, P. B.; Muñoz, V.
37
2007
Moduli spaces of holomorphic triples over compact Riemann surfaces. Zbl 1041.32008
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
33
2004
Components of spaces of representations and stable triples. Zbl 1066.14012
Gothen, Peter B.
31
2001
Homotopy groups of moduli spaces of representations. Zbl 1165.14028
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
19
2008
Deformations of maximal representations in \(\mathrm{Sp}(4, \mathbb R)\). Zbl 1261.14018
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
18
2012
\(\mathrm{SO}(p,q)\)-Higgs bundles and higher Teichmüller components. Zbl 1473.14017
Aparicio-Arroyo, Marta; Bradlow, Steven; Collier, Brian; García-Prada, Oscar; Gothen, Peter B.; Oliveira, André
13
2019
Topological mirror symmetry for parabolic Higgs bundles. Zbl 1412.14025
Gothen, Peter B.; Oliveira, André G.
12
2019
The singular fiber of the Hitchin map. Zbl 1312.14034
Gothen, Peter B.; Oliveira, André G.
10
2013
Higgs bundles for the non-compact dual of the special orthogonal group. Zbl 1314.14060
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
9
2015
Rank two quadratic pairs and surface group representations. Zbl 1256.14033
Gothen, Peter B.; Oliveira, André G.
9
2012
On moduli spaces of Hitchin pairs. Zbl 1227.32017
Biswas, Indranil; Gothen, Peter B.; Logares, Marina
9
2011
Representations of surface groups and Higgs bundles. Zbl 1314.14065
Gothen, Peter B.
7
2014
Stratifications on the moduli space of Higgs bundles. Zbl 1386.14125
Gothen, Peter B.; Zúñiga-Rojas, Ronald A.
6
2017
Representations of the fundamental group of a surface in \(\text{PU}(p,q)\) and holomorphic triples. Zbl 0991.32012
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
6
2001
Representations of surface groups in the general linear group. Zbl 1074.14010
Bradlow, S. B.; García-Prada, O.; Gothen, P. B.
6
2004
Irreducibility of moduli of semi-stable chains and applications to \(\mathsf{U}(p, q)\)-Higgs bundles. Zbl 1428.14058
Bradlow, Steven; García-Prada, Oscar; Gothen, Peter; Heinloth, Jochen
5
2018
Unramified covers and branes on the Hitchin system. Zbl 1457.14089
Franco, Emilio; Gothen, Peter B.; Oliveira, André; Peón-Nieto, Ana
5
2021
Exotic components of \(\mathrm{SO}(p, q)\) surface group representations, and their Higgs bundle avatars. (Composantes exotiques des variétés de représentations du groupe fondamental d’une surface dans \(\mathrm{SO}(p, q)\) et les fibrés de Higgs correspondants.) Zbl 1390.14040
Aparicio-Arroyo, Marta; Bradlow, Steven; Collier, Brian; García-Prada, Oscar; Gothen, Peter B.; Oliveira, André
4
2018
What is \(\dots\) a Higgs bundle? Zbl 1439.53025
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
4
2007
Direct perturbations of aggregate excess demand. Zbl 1232.91472
Castro, Sofia B. S. D.; Dakhlia, Sami; Gothen, Peter B.
2
2010
Birationality of moduli spaces of twisted \(\mathrm {U}(p,q)\)-Higgs bundles. Zbl 1364.14006
Gothen, Peter B.; Nozad, Azizeh
2
2017
Homotopy type of moduli spaces of G-Higgs bundles and reducibility of the nilpotent cone. Zbl 1470.14065
Florentino, C.; Gothen, P. B.; Nozad, A.
2
2019
Topology of \(U\)(2,1) representation spaces. Zbl 1053.14039
Gothen, Peter B.
1
2002
From singularity theory to finiteness of Walrasian equilibria. Zbl 1286.91081
Castro, Sofia B. S. D.; Dakhlia, Sami; Gothen, Peter B.
1
2013
Hitchin pairs for non-compact real Lie groups. Zbl 1369.14041
Gothen, Peter B.
1
2016
Quiver bundles and wall crossing for chains. Zbl 1455.14068
Gothen, P. B.; Nozad, A.
1
2019
Higgs bundles and the real symplectic group. Zbl 1236.81121
Gothen, Peter B.
1
2011
On the classification of the rigid motions of the plane. Zbl 1505.97017
Gothen, Peter B.; de Oliveira, António Guedes
1
2022
Non-connected Lie groups, twisted equivariant bundles and coverings. Zbl 1506.14073
Barajas, G.; García-Prada, O.; Gothen, P. B.; Mundet i Riera, I.
1
2023
Non-connected Lie groups, twisted equivariant bundles and coverings. Zbl 1506.14073
Barajas, G.; García-Prada, O.; Gothen, P. B.; Mundet i Riera, I.
1
2023
On the classification of the rigid motions of the plane. Zbl 1505.97017
Gothen, Peter B.; de Oliveira, António Guedes
1
2022
Unramified covers and branes on the Hitchin system. Zbl 1457.14089
Franco, Emilio; Gothen, Peter B.; Oliveira, André; Peón-Nieto, Ana
5
2021
\(\mathrm{SO}(p,q)\)-Higgs bundles and higher Teichmüller components. Zbl 1473.14017
Aparicio-Arroyo, Marta; Bradlow, Steven; Collier, Brian; García-Prada, Oscar; Gothen, Peter B.; Oliveira, André
13
2019
Topological mirror symmetry for parabolic Higgs bundles. Zbl 1412.14025
Gothen, Peter B.; Oliveira, André G.
12
2019
Homotopy type of moduli spaces of G-Higgs bundles and reducibility of the nilpotent cone. Zbl 1470.14065
Florentino, C.; Gothen, P. B.; Nozad, A.
2
2019
Quiver bundles and wall crossing for chains. Zbl 1455.14068
Gothen, P. B.; Nozad, A.
1
2019
Irreducibility of moduli of semi-stable chains and applications to \(\mathsf{U}(p, q)\)-Higgs bundles. Zbl 1428.14058
Bradlow, Steven; García-Prada, Oscar; Gothen, Peter; Heinloth, Jochen
5
2018
Exotic components of \(\mathrm{SO}(p, q)\) surface group representations, and their Higgs bundle avatars. (Composantes exotiques des variétés de représentations du groupe fondamental d’une surface dans \(\mathrm{SO}(p, q)\) et les fibrés de Higgs correspondants.) Zbl 1390.14040
Aparicio-Arroyo, Marta; Bradlow, Steven; Collier, Brian; García-Prada, Oscar; Gothen, Peter B.; Oliveira, André
4
2018
Stratifications on the moduli space of Higgs bundles. Zbl 1386.14125
Gothen, Peter B.; Zúñiga-Rojas, Ronald A.
6
2017
Birationality of moduli spaces of twisted \(\mathrm {U}(p,q)\)-Higgs bundles. Zbl 1364.14006
Gothen, Peter B.; Nozad, Azizeh
2
2017
Hitchin pairs for non-compact real Lie groups. Zbl 1369.14041
Gothen, Peter B.
1
2016
Higgs bundles for the non-compact dual of the special orthogonal group. Zbl 1314.14060
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
9
2015
Representations of surface groups and Higgs bundles. Zbl 1314.14065
Gothen, Peter B.
7
2014
Higgs bundles and surface group representations in the real symplectic group. Zbl 1303.14043
García-Prada, O.; Gothen, P. B.; Mundet i Riera, I.
62
2013
The singular fiber of the Hitchin map. Zbl 1312.14034
Gothen, Peter B.; Oliveira, André G.
10
2013
From singularity theory to finiteness of Walrasian equilibria. Zbl 1286.91081
Castro, Sofia B. S. D.; Dakhlia, Sami; Gothen, Peter B.
1
2013
Deformations of maximal representations in \(\mathrm{Sp}(4, \mathbb R)\). Zbl 1261.14018
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
18
2012
Rank two quadratic pairs and surface group representations. Zbl 1256.14033
Gothen, Peter B.; Oliveira, André G.
9
2012
On moduli spaces of Hitchin pairs. Zbl 1227.32017
Biswas, Indranil; Gothen, Peter B.; Logares, Marina
9
2011
Higgs bundles and the real symplectic group. Zbl 1236.81121
Gothen, Peter B.
1
2011
Direct perturbations of aggregate excess demand. Zbl 1232.91472
Castro, Sofia B. S. D.; Dakhlia, Sami; Gothen, Peter B.
2
2010
Homotopy groups of moduli spaces of representations. Zbl 1165.14028
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
19
2008
Betti numbers of the moduli space of rank 3 parabolic Higgs bundles. Zbl 1132.14031
Prada-García, O.; Gothen, P. B.; Muñoz, V.
37
2007
What is \(\dots\) a Higgs bundle? Zbl 1439.53025
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
4
2007
Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces. Zbl 1132.14029
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
52
2006
Homological algebra of twisted quiver bundles. Zbl 1095.14012
Gothen, Peter B.; Kind, Alastair D.
42
2005
Moduli spaces of holomorphic triples over compact Riemann surfaces. Zbl 1041.32008
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
33
2004
Representations of surface groups in the general linear group. Zbl 1074.14010
Bradlow, S. B.; García-Prada, O.; Gothen, P. B.
6
2004
Surface group representations and \(U(p,q)\)-Higgs bundles. Zbl 1070.53054
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
56
2003
Topology of \(U\)(2,1) representation spaces. Zbl 1053.14039
Gothen, Peter B.
1
2002
Components of spaces of representations and stable triples. Zbl 1066.14012
Gothen, Peter B.
31
2001
Representations of the fundamental group of a surface in \(\text{PU}(p,q)\) and holomorphic triples. Zbl 0991.32012
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
6
2001
The Betti numbers of the moduli space of stable rank 3 Higgs bundles on a Riemann surface. Zbl 0860.14030
Gothen, Peter B.
41
1994
all cited Publications top 5 cited Publications
all top 5

Cited by 228 Authors

28 García-Prada, Oscar
17 Gothen, Peter B.
14 Biswas, Indranil
10 Bradlow, Steven B.
10 Oliveira, André G.
9 Collier, Brian
9 Muñoz Velázquez, Vicente
8 Rayan, Steven
8 Wienhard, Anna Katharina
7 Arango Florentino, Carlos Armindo
6 Kydonakis, Georgios
6 Labourie, François
5 Burger, Marc
5 Iozzi, Alessandra
5 Lawton, Sean
5 Logares, Marina
5 Nozad, Azizeh
5 Peón Nieto, Ana
5 Pozzetti, Maria Beatrice
5 Sambarino, Andrés
5 Schaposnik, Laura P.
5 Sun, Hao
4 Ballico, Edoardo
4 Diaconescu, Duiliu-Emanuel
4 Franco, Emilio
4 Hausel, Tamás
4 Hitchin, Nigel
4 Hoskins, Victoria
4 Huang, Pengfei
4 Mozgovoy, Sergey
4 Newstead, Peter E.
4 Sancho, Álvaro Antón
4 Schmitt, Alexander H. W.
4 Theriault, Stephen D.
4 Wentworth, Richard A.
4 Zhao, Lutian
3 Álvarez-Cónsul, Luis
3 Arroyo, Marta Aparicio
3 Baraglia, David
3 Biquard, Olivier
3 Bridgeman, Martin J.
3 Fredrickson, Laura
3 Hu, Zhi
3 Jardim, Marcos
3 Kim, Inkang
3 Lehalleur, Simon Pepin
3 Li, Qiongling
3 Maubon, Julien
3 Mundet i Riera, Ignasi
3 Szabo, Richard J.
3 Toulisse, Jérémy
3 Yoo, Sang-Bum
2 Alessandrini, Daniele
2 Alfaya, David
2 Anderson, Lara B.
2 Canary, Richard D.
2 Castro, Sofia B. S. D.
2 Chakraborty, Sujoy
2 Dakhlia, Sami
2 Dey, Arijit
2 Donagi, Ron Y.
2 Fu, Lie
2 González-Prieto, Ángel
2 Guichard, Olivier
2 Gukov, Sergei
2 Heinloth, Jochen
2 Hezenci, Fatih
2 Huh, Sukmoon
2 Hurtubise, Jacques C.
2 Ivanics, Péter
2 Koziarz, Vincent
2 Letellier, Emmanuel
2 Mukhopadhyay, Swarnava
2 Pan, Changpeng
2 Pansu, Pierre
2 Pantev, Tony G.
2 Pasotti, Stefano
2 Pei, Du
2 Popov, Alexander D.
2 Prantil, Francesco
2 Pustetto, Andrea
2 Raab, Clemens G.
2 Ramanan, Sundararaman
2 Regensburger, Georg
2 Rodriguez-Villegas, Fernando
2 Schiffmann, Olivier G.
2 Schumacher, Georg
2 Sozen, Yasar
2 Spinaci, Marco
2 Stipsicz, András I.
2 Sundbo, Evan
2 Swoboda, Jan
2 Szabo, Szilard
2 Tholozan, Nicolas
2 Toledo, Domingo
2 Wilkin, Graeme
2 Yan, Wenbin
2 Ye, Ke
2 Zhang, Xi
2 Zúñiga-Rojas, Ronald A.
...and 128 more Authors
all top 5

Cited in 88 Serials

24 International Journal of Mathematics
21 Geometriae Dedicata
12 Journal of Geometry and Physics
9 Advances in Mathematics
8 Communications in Mathematical Physics
7 Inventiones Mathematicae
6 Bulletin des Sciences Mathématiques
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Journal of Algebra
5 Mathematische Annalen
4 Journal of Mathematical Physics
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Zeitschrift
4 Proceedings of the London Mathematical Society. Third Series
4 Transactions of the American Mathematical Society
4 Selecta Mathematica. New Series
4 Annals of Mathematics. Second Series
4 Journal of High Energy Physics
4 European Journal of Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Duke Mathematical Journal
3 Topology and its Applications
3 Geometry & Topology
3 Revista Matemática Complutense
3 Journal of the European Mathematical Society (JEMS)
3 Journal de l’École Polytechnique – Mathématiques
2 Communications in Algebra
2 Bulletin of the London Mathematical Society
2 Compositio Mathematica
2 Glasgow Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of Pure and Applied Algebra
2 Michigan Mathematical Journal
2 Geometric and Functional Analysis. GAFA
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Central European Journal of Mathematics
2 International Journal of Geometric Methods in Modern Physics
2 Oberwolfach Reports
2 Journal of Topology
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Linear and Multilinear Algebra
1 Nuclear Physics. B
1 Archiv der Mathematik
1 Hokkaido Mathematical Journal
1 Publications Mathématiques
1 Journal of Economic Theory
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Journal of Mathematical Economics
1 Journal of the Mathematical Society of Japan
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Mathematica Scandinavica
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quaestiones Mathematicae
1 Ergodic Theory and Dynamical Systems
1 Mathematical Social Sciences
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Journal of Algebraic Combinatorics
1 Turkish Journal of Mathematics
1 Documenta Mathematica
1 Transformation Groups
1 Taiwanese Journal of Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Advances in Geometry
1 Algebraic & Geometric Topology
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Algebra and its Applications
1 Mediterranean Journal of Mathematics
1 Proyecciones
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Fixed Point Theory and Applications
1 Groups, Geometry, and Dynamics
1 The College Mathematics Journal
1 Japanese Journal of Mathematics. 3rd Series
1 Science China. Mathematics
1 Bulletin of Mathematical Sciences
1 Forum of Mathematics, Pi
1 Forum of Mathematics, Sigma
1 EMS Surveys in Mathematical Sciences
1 Research in the Mathematical Sciences
1 Open Mathematics
1 Annales Henri Lebesgue
1 Electronic Research Archive
all top 5

Cited in 29 Fields

182 Algebraic geometry (14-XX)
67 Differential geometry (53-XX)
49 Several complex variables and analytic spaces (32-XX)
38 Manifolds and cell complexes (57-XX)
27 Global analysis, analysis on manifolds (58-XX)
25 Topological groups, Lie groups (22-XX)
22 Group theory and generalizations (20-XX)
19 Quantum theory (81-XX)
18 Associative rings and algebras (16-XX)
14 Algebraic topology (55-XX)
12 Functions of a complex variable (30-XX)
7 Dynamical systems and ergodic theory (37-XX)
5 Category theory; homological algebra (18-XX)
4 Nonassociative rings and algebras (17-XX)
4 Partial differential equations (35-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 General topology (54-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Commutative algebra (13-XX)
2 Geometry (51-XX)
2 Computer science (68-XX)
2 Relativity and gravitational theory (83-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 \(K\)-theory (19-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year