Good objects in the equivariant world
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912343678517248 |
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| author | Ghosh, Surojit Kundu, Bikramjit |
| author_facet | Ghosh, Surojit Kundu, Bikramjit |
| contents | This article explores equivariant localization in the category of $G$-spaces, where $G$ is a compact Lie group. We establish a commutation rule for the localization functor and the equivariant loop functor. Additionally, we introduce and classify certain good objects in this category up to their Bredon cohomology with coefficients in the constant rational Mackey functor $\underline{\Q}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02803 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Good objects in the equivariant world Ghosh, Surojit Kundu, Bikramjit Algebraic Topology Primary: 55P91, 55P65, Secondary: 55N91, 55P48 This article explores equivariant localization in the category of $G$-spaces, where $G$ is a compact Lie group. We establish a commutation rule for the localization functor and the equivariant loop functor. Additionally, we introduce and classify certain good objects in this category up to their Bredon cohomology with coefficients in the constant rational Mackey functor $\underline{\Q}$. |
| title | Good objects in the equivariant world |
| topic | Algebraic Topology Primary: 55P91, 55P65, Secondary: 55N91, 55P48 |
| url | https://arxiv.org/abs/2411.02803 |