Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A de Rham type theorem for orbit spaces
HTML articles powered by AMS MathViewer

by Andrei Verona PDF
Proc. Amer. Math. Soc. 104 (1988), 300-302 Request permission

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
  • Michael Francis Atiyah, Elliptic operators and compact groups, Lecture Notes in Mathematics, Vol. 401, Springer-Verlag, Berlin-New York, 1974. MR 0482866
  • Glen E. Bredon, Introduction to compact transformation groups, Pure and Applied Mathematics, Vol. 46, Academic Press, New York-London, 1972. MR 0413144
  • R. Godement, Théorie des faisceaux, Hermann, Paris, 1964.
  • Raghavan Narasimhan, Analysis on real and complex manifolds, 2nd ed., Advanced Studies in Pure Mathematics, Vol. 1, Masson & Cie, Éditeurs, Paris; North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973. MR 0346855
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57S15, 58A12
  • Retrieve articles in all journals with MSC: 57S15, 58A12
Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 300-302
  • MSC: Primary 57S15; Secondary 58A12
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0958087-8
  • MathSciNet review: 958087