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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.18670 |
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| _version_ | 1866910028930220032 |
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| author | Dugger, Daniel Hazel, Christy |
| author_facet | Dugger, Daniel Hazel, Christy |
| contents | Let $C_n$ denote a cyclic group of order $n$. In this paper we investigate modules and chain complexes over the constant integral Mackey functor $\underline{\mathbb{Z}}$ and perform some related homological calculations. Along the way we develop a number of foundational tools for working with these categories. These results are useful for the study of $RO(C_n)$-graded Bredon cohomology, though such applications are delegated to a sequel paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18670 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mackey homological algebra over cyclic groups Dugger, Daniel Hazel, Christy Algebraic Topology Let $C_n$ denote a cyclic group of order $n$. In this paper we investigate modules and chain complexes over the constant integral Mackey functor $\underline{\mathbb{Z}}$ and perform some related homological calculations. Along the way we develop a number of foundational tools for working with these categories. These results are useful for the study of $RO(C_n)$-graded Bredon cohomology, though such applications are delegated to a sequel paper. |
| title | Mackey homological algebra over cyclic groups |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2602.18670 |