Free Circle Actions on the Product of Three Spheres
Algebraic Topology
2025-06-23 v2
Abstract
The orbit spaces of free S^0-actions on the mod 2 cohomology product of three spheres, S^n x S^m x S^l, 1 <= n <= m <= l have been determined in [6]. In this paper, we extend these findings to free S^1-actions on the rational cohomology product of three spheres. This extension also builds upon the work of Dotzel et al. [7], who studied free circle actions on the rational cohomology product of two spheres. Additionally, we establish Borsuk-Ulam type theorems.
Cite
@article{arxiv.2505.21993,
title = {Free Circle Actions on the Product of Three Spheres},
author = {Dimpi and Hemant Kumar Singh},
journal= {arXiv preprint arXiv:2505.21993},
year = {2025}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2303.16474