Geodesic
On the Equivariant Formality of Kähler Manifolds With Finite Group Action
Canadian journal of mathematics, Tome 45 (1993) no. 6, pp. 1200-1210

Voir la notice de l'article provenant de la source Cambridge University Press

An appropriate definition of equivariant formality for spaces equipped with the action of a finite group G, and for equivariant maps between such spaces, is given. Kahler manifolds with holomorphic G-actions, and equivariant holomorphic maps between such Kàhler manifolds, are proven to be equivariantly formal, generalizing results of Deligne, Griffiths, Morgan, and Sullivan
DOI : 10.4153/CJM-1993-067-4
Mots-clés : 55P62, 32C17, 57S17, Kahler manifolds, formality, equivariant minimal models 
Fine, Benjamin L.; Triantafillou, Georgia. On the Equivariant Formality of Kähler Manifolds With Finite Group Action. Canadian journal of mathematics, Tome 45 (1993) no. 6, pp. 1200-1210. doi: 10.4153/CJM-1993-067-4
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[B] Bredon, G.E., Equivariant Cohomology Theories, Lecture Notes in Math. 34, Springer-Verlag, Berlin, Heidelberg and New York, 1967. Google Scholar

[DGMS] Deligne, P., Griffiths, P., Morgan, J. and Sullivan, D., Real Homotopy Theory of Kàhler Manifolds, Inv. Math. 29(1975. 245–274. Google Scholar

[H] Humphreys, J., Linear Algebraic Groups, Grad. Texts in Math. 21, Springer Verlag, New York Heidelberg Berlin, 1975. Google Scholar

[HS] Halperin, S. and Stasheff, J., Obstructions to homotopy equivalences, Advances in Math. 32(1979), 233–279. Google Scholar

[L] Lambre, T., Homotopie équivariante et formalité, C.R. Acad. Sci. Pans, t. (I) 309(1989. 55–57. Google Scholar

[L2] Lambre, T., Modèle minimal équivariant et formalité, Trans. Amer. Math. Soc, to appear. Google Scholar

[M] Miller, T., On the formality of(k — 1)-connected compact manifolds of dimension less or equal to 4k — 2, Illinois J. Math. 23(1979), 253–258. Google Scholar

[RT] Rothenberg, M. and Triantafillou, G., On the classification of G-manifold s up to finite ambiguity, Communications in Pure and Applied Mathematics XLIV(1991), 733–759. Google Scholar

[RT2] Rothenberg, M. and Triantafillou, G., On the formality of the equivariant classifying space BU﹛ct), preprint, 1991. Google Scholar

[S] Sullivan, D., Infinitesimal computations in topology, Publ. Math. IHES 47(1978), 269–331. Google Scholar

[Se] Serre, J.-P, Cohomologie Galoisienne, Lecture Notes in Math. 5, Springer Verlag, Berlin Heidelberg NewYork, 1965. Google Scholar

[T] Triantafillou, G., Equivariant minimal models, Trans. Amer. Math. Soc. (2) 274(1982), 509–532. Google Scholar

[T2] Triantafillou, G., An algebraic model for G-homotopy types, Astérisque 113-114(1984), 312–337. Google Scholar

[T3] Triantafillou, G., Rationalization ofHopfG-spaces, Math. Zeit. 182(1983), 485–500. Google Scholar

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