On an algebraic formula and applications to group action on manifolds
Algebraic Topology
2018-10-18 v2 Geometric Topology
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 action on manifolds with isolated fixed points when is a prime.
Cite
@article{arxiv.1106.0147,
title = {On an algebraic formula and applications to group action on manifolds},
author = {Ping Li and Kefeng Liu},
journal= {arXiv preprint arXiv:1106.0147},
year = {2018}
}
Comments
7 pages, revised slightly to update a new reference and reassign the credit of the idea in this note