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arXiv · 1106.0147

On an algebraic formula and applications to group action on manifolds

Ping Li·Kefeng Liu
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Abstract

We consider a purely algebraic result. Then given a circle or cyclic group of prime order action on a manifold, we will use it to estimate the lower bound of the number of fixed points. We also give an obstruction to the existence of $\mathbb{Z}_p$ action on manifolds with isolated fixed points when $p$ is a prime.

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BibTeXRIS

Ping Li, Kefeng Liu. 2011-06-01. On an algebraic formula and applications to group action on manifolds. https://doi.org/10.4310/ajm.2013.v17.n2.a5

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