Free Circle Actions on the Product of Three Spheres
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913903204630528 |
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| author | Dimpi Singh, Hemant Kumar |
| author_facet | Dimpi Singh, Hemant Kumar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_21993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Free Circle Actions on the Product of Three Spheres Dimpi Singh, Hemant Kumar Algebraic Topology Primary 57S17, Secondary 57S25 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. |
| title | Free Circle Actions on the Product of Three Spheres |
| topic | Algebraic Topology Primary 57S17, Secondary 57S25 |
| url | https://arxiv.org/abs/2505.21993 |