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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A de Rham type theorem for orbit spaces

Author: Andrei Verona
Journal: Proc. Amer. Math. Soc. 104 (1988), 300-302
MSC: Primary 57S15; Secondary 58A12
MathSciNet review: 958087
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Abstract: Let $ G$ be a compact Lie group and $ M$ be a smooth $ G$-space. We prove that the real cohomology algebra of the orbit space $ M/G$ is isomorphic to the homology algebra of the de Rham complex of $ G$-basic differential forms on $ M$.

References [Enhancements On Off] (What's this?)

  • [1] Michael Francis Atiyah, Elliptic operators and compact groups, Lecture Notes in Mathematics, Vol. 401, Springer-Verlag, Berlin-New York, 1974. MR 0482866
  • [2] Glen E. Bredon, Introduction to compact transformation groups, Academic Press, New York-London, 1972. Pure and Applied Mathematics, Vol. 46. MR 0413144
  • [3] R. Godement, Théorie des faisceaux, Hermann, Paris, 1964.
  • [4] Raghavan Narasimhan, Analysis on real and complex manifolds, 2nd ed., Masson & Cie, Éditeur, Paris; North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973. Advanced Studies in Pure Mathematics, Vol. 1. MR 0346855

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Article copyright: © Copyright 1988 American Mathematical Society