Compact Lie group action and equivariant bordism

Author:
Shabd Sharan Khare

Journal:
Proc. Amer. Math. Soc. **92** (1984), 297-300

MSC:
Primary 57S15; Secondary 57R85

DOI:
https://doi.org/10.1090/S0002-9939-1984-0754725-X

MathSciNet review:
754725

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Abstract: Let be a compact Lie group and a compact Lie subgroup of contained in the center of with the maximal subgroup in the center, being -boundary. Let be the projection onto the th factor and be the th factor of . Let be a family of subgroups of such that is nontrivial. Consider a -manifold with trivial or containing , for every in . The main result of the paper is that if , is trivial at least for one , then is a -boundary.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1984-0754725-X

Keywords:
-boundary,
admissible pair,
-type action,
pseudo stationary point,
equivariant bordism

Article copyright:
© Copyright 1984
American Mathematical Society