-actions with

Author:
Zhi Lü

Journal:
Proc. Amer. Math. Soc. **133** (2005), 3721-3733

MSC (2000):
Primary 57R85, 57S17, 55N22

DOI:
https://doi.org/10.1090/S0002-9939-05-07941-4

Published electronically:
June 8, 2005

MathSciNet review:
2163612

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Suppose that is a smooth -action on a closed smooth -dimensional manifold such that all Stiefel-Whitney classes of the tangent bundle to each connected component of the fixed point set vanish in positive dimension. This paper shows that if and each -dimensional part possesses the linear independence property, then bounds equivariantly, and in particular, is the best possible upper bound of if is nonbounding.

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Additional Information

**Zhi Lü**

Affiliation:
Institute of Mathematics, Fudan University, Shanghai, 200433, People’s Republic of China

Email:
zlu@fudan.edu.cn

DOI:
https://doi.org/10.1090/S0002-9939-05-07941-4

Keywords:
$({\mathbb{Z}}_2)^k$-action,
equivariant cobordism,
linear independence condition

Received by editor(s):
February 9, 2004

Received by editor(s) in revised form:
July 25, 2004

Published electronically:
June 8, 2005

Additional Notes:
This work was supported by grants from NSFC (No. 10371020) and JSPS (No. P02299)

Dedicated:
Dedicated to Professor Zhende Wu on his seventieth birthday

Communicated by:
Paul Goerss

Article copyright:
© Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.