English

The homotopy fixed point sets of spheres actions on rational complexes

Algebraic Topology 2022-10-26 v1

Abstract

In this paper, we describe the homotopy type of the homotopy fixed point sets of S3S^3-actions on rational spheres and complex projective spaces, and provide some properties of S1S^1-actions on a general rational complex.

Keywords

Cite

@article{arxiv.2210.14173,
  title  = {The homotopy fixed point sets of spheres actions on rational complexes},
  author = {Yanlong Hao and Xiugui Liu and Qianwen Sun},
  journal= {arXiv preprint arXiv:2210.14173},
  year   = {2022}
}