Representations at fixed points of smooth actions of compact connected Lie groups
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Abstract:
Let $G$ be a compact connected Lie group acting smoothly on a connected closed manifold $M$ with nonempty fixed point set $F$. In this paper, we study the relation between the cohomology of $M$ or $M_G$ and the equivalent representations of $G$ at fixed points.References
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Additional Information
- Huajian Yang
- Affiliation: Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015; Department of Mathematics, South China Normal University, Guangzhou 510631, People’s Republic of China
- Email: hyo2@lehigh.edu
- Received by editor(s): September 22, 1993
- Received by editor(s) in revised form: September 16, 1994
- Communicated by: Thomas Goodwillie
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1903-1912
- MSC (1991): Primary 57S15
- DOI: https://doi.org/10.1090/S0002-9939-96-03113-9
- MathSciNet review: 1301537