On the bordism of almost free actions

Author:
R. Paul Beem

Journal:
Trans. Amer. Math. Soc. **225** (1977), 83-105

MSC:
Primary 57D85

DOI:
https://doi.org/10.1090/S0002-9947-1977-0425991-6

MathSciNet review:
0425991

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Abstract: An ``almost free'' action on a manifold is one in which only the included may possibly fix points of the manifold. For k = 2, these are the stationary-point free actions. It is shown that almost free bordism is generated by three subalgebras: the extension from actions, a coset of extensions being the restrictions of circle actions and a certain ideal of elements which annihilate the whole ring. The additive structure is determined. Free bordism is shown to split as an algebra. It is shown that the kernel of the extension homomorphism from to bordism is equal to the image of the corresponding restriction homomorphism.

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DOI:
https://doi.org/10.1090/S0002-9947-1977-0425991-6

Keywords:
Equivariant bordism

Article copyright:
© Copyright 1977
American Mathematical Society