De-suspension of free S3 - actions on Homotopy Spheres
Issam Kaddoura
TL;DR
This paper extends the study of free group actions on homotopy spheres by analyzing the de-suspension of smooth free actions of S3 on (4n+3)-dimensional homotopy spheres, building on prior work on S1 actions.
Contribution
It introduces the de-suspension of smooth free S3 actions on higher-dimensional homotopy spheres, expanding the understanding of group actions in topology.
Findings
Characterization of de-suspension conditions for S3 actions
Extension of previous results from S1 to S3 actions
New insights into the structure of homotopy spheres under group actions
Abstract
In the paper of Montgomery, D. and Yang, C.T. [5], they discuss the de-suspension of smooth free actions of S1 on (2n+1)-dimensional homotopy spheres. In this paper we discuss the de-suspension of smooth free actions of S3 on (4n + 3)-dimensional homotopy spheres.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory · Topological and Geometric Data Analysis