Construction of semi-free S^3 actions on homotopy sphere with untwisted fixed point set

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Issam Kaddoura

Abstract

In his paper "Surgery and the theory of differentiable transformation groups", William Browder 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 discuss a similar theory about semi-free actions of S3 on homotopy spheres. An open problem is raised at the end of the paper.

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How to Cite
Kaddoura, I. (2014). Construction of semi-free S^3 actions on homotopy sphere with untwisted fixed point set. Gulf Journal of Mathematics, 2(3). Retrieved from https://gjom.org/index.php/gjom/article/view/225
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