English

Circle action, lower bound of fixed points and characteristic numbers

Algebraic Topology 2018-10-18 v2 Geometric Topology

Abstract

Given an S1S^1-manifold with isolated fixed points, some recent papers are concerned with the relationship between the least number of fixed points and the characteristic numbers of this manifold, and their proofs have some similar features. The main purpose of this short survey article is, by using the language of equivariant cohomology, to present a unified method to deal with such problems, of which the related known results are direct corollaries.

Keywords

Cite

@article{arxiv.1104.0452,
  title  = {Circle action, lower bound of fixed points and characteristic numbers},
  author = {Ping Li},
  journal= {arXiv preprint arXiv:1104.0452},
  year   = {2018}
}