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Deligne, Pierre; Griffiths, Phillip; Morgan, John; Sullivan, Dennis

Real homotopy theory of Kähler manifolds. (English) Zbl 0312.55011

Invent. Math. 29, 245-274 (1975).
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Cited in 39 Reviews
Cited in 389 Documents

MSC:

55P15 Classification of homotopy type
32Q99 Complex manifolds
12H05 Differential algebra
53C55 Global differential geometry of Hermitian and Kählerian manifolds
55S30 Massey products
57N65 Algebraic topology of manifolds
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References:

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[3] Chern, S.S.: Complex manifolds without potential theory. Princeton, N. J.: Van Nostrand 1967 · Zbl 0158.33002
[4] Deligne, P.: Théorie de Hodge III. Publ. Math. IHES44 (1974) · Zbl 0237.14003
[5] Deligne, P.: La conjecture de Weil I. Publ. Math. IHES43, 273-307 (1974) · Zbl 0287.14001
[6] Friedlander, E. Griffiths, P., Morgan, J.: Lecture NotesDe Rham theory of Sulliran. Lecture Notes. Istituto Matematico, Florence, Italy 1972
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[9] Newlander, A., Nirenberg, L.: Complex analytic coordinates in almost complex manifolds Ann. of Math.65, 391-404 (1957) · Zbl 0079.16102 · doi:10.2307/1970051
[10] Quillen, D.: Rational Homotopy Theory. Ann. of Math.90, 205-295 (1969) · Zbl 0191.53702 · doi:10.2307/1970725
[11] Serre, J.-P.: Groupes d’homotopie et classes de groupes abéliens. Ann. of Math.58, 258-294 (1953) · Zbl 0052.19303 · doi:10.2307/1969789
[12] Sullivan, D.: De Rham homotopy theory, (to appear) · Zbl 0326.58005
[13] Sullivan, D.: Genetics of Homotopy Theory and the Adams conjecture. Ann. of Math.100, 1-79 (1974) · Zbl 0355.57007 · doi:10.2307/1970841
[14] Sullivan, D.: Topology of Manifolds and Differential Forms, (to appear) Proceedings of Conference on Manifolds, Tokyo, Japan, 1973 · Zbl 0262.50006
[15] Weil, A.: Introduction à l’étude des Variétés Kählériennes. Paris: Hermann 1958
[16] Whitehead, J. H. S.: An Expression of Hopfs Invariant as an Integral. Proc. Nat. Ac. Sci.33, 117-123 (1947) · Zbl 0030.07902 · doi:10.1073/pnas.33.5.117
[17] Whitney, H.: Geometric Integration Theory. Princeton University Press 1957 · Zbl 0083.28204
[18] Whitney, H.: On Products in a Complex. Ann. of Math.39, 397-432 (1938) · JFM 64.1265.04 · doi:10.2307/1968795
[19] Morgan, J.: The Algebraic topology of open, non singular algebraic varieties (in preparation)
[20] Deligne, P.: Théoréme de Lefschetz et critères de dégénérescence de suites spectrales. Publ. Math. IHES35, 107-126 (1968) · Zbl 0159.22501
[21] Parshin, A. N.: A generalization of the Jacobian variety. (Russ.). Investia30, 175-182 (1966)
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