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arXiv:1106.0147 [math.AT]AbstractReferencesReviewsResources

On an algebraic formula and applications to group action on manifolds

Ping Li, Kefeng Liu

Published 2011-06-01, updated 2011-11-10Version 2

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.

Comments: 7 pages, revised slightly to update a new reference and reassign the credit of the idea in this note
Journal: Asian J. Math. 17 (2013), 383-390
Categories: math.AT, math.GT
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