Construction of semi-free S3 actions on homotopy sphere with untwisted fixed point set
Algebraic Topology
2012-05-01 v1
Abstract
William Browder in his paper "Surgery and the theory of differentiable transformation groups" developed surgery techniques to study semi-free actions of S1 on homotopy spheres, under the additional assumption that the fixed point set is a homotopy sphere. He used this surgery to show how to construct such actions. In this paper, I discussed a similar theory for semi-free actions of S3 on homotopy spheres. An open problem is raised at the end of the paper.
Keywords
Cite
@article{arxiv.1204.6568,
title = {Construction of semi-free S3 actions on homotopy sphere with untwisted fixed point set},
author = {I. H. Kaddoura},
journal= {arXiv preprint arXiv:1204.6568},
year = {2012}
}
Comments
7 pages