Circle action, lower bound of fixed points and characteristic numbers



Given an S 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 note 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.

Mathematics Subject Classification

19J35 58C30 58E40 


Circle action fixed point localization formula characteristic number 


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Copyright information

© Springer Basel AG 2012

Authors and Affiliations

  1. 1.Department of MathematicsTongji UniversityShanghaiChina
  2. 2.Department of Mathematics and Information SciencesTokyo Metropolitan UniversityTokyoJapan

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