The Bredon equivariant cohomology of a point for cyclic groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915810920890368 |
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| author | Dugger, Daniel Hazel, Christy |
| author_facet | Dugger, Daniel Hazel, Christy |
| contents | We study the $RO(G)$-graded Bredon cohomology of a point in the case where $G$ is a cyclic group of odd order, expanding on the information provided by previous studies. Our methods center on the purely algebraic aspects of this matter, which interpret it as the "stable homotopy groups of spheres" problem for the derived category of modules over the constant-coefficient Mackey ring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18680 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Bredon equivariant cohomology of a point for cyclic groups Dugger, Daniel Hazel, Christy Algebraic Topology 55N91, 55P91 We study the $RO(G)$-graded Bredon cohomology of a point in the case where $G$ is a cyclic group of odd order, expanding on the information provided by previous studies. Our methods center on the purely algebraic aspects of this matter, which interpret it as the "stable homotopy groups of spheres" problem for the derived category of modules over the constant-coefficient Mackey ring. |
| title | The Bredon equivariant cohomology of a point for cyclic groups |
| topic | Algebraic Topology 55N91, 55P91 |
| url | https://arxiv.org/abs/2602.18680 |