The $C_2$-equivariant ordinary cohomology of $BT^2$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915012778393600 |
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| author | Costenoble, Steven R. Hudson, Thomas |
| author_facet | Costenoble, Steven R. Hudson, Thomas |
| contents | We calculate the ordinary $C_2$-cohomology of $BT^2$ with Burnside ring coefficients, using an extended grading that allows us to capture a more natural set of generators. We discuss how this cohomology is related to those of $BT^1$ and $BU(2)$, calculated previously, both relationships being more complicated than in the nonequivariant case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06470 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The $C_2$-equivariant ordinary cohomology of $BT^2$ Costenoble, Steven R. Hudson, Thomas Algebraic Topology 55N91 (Primary) 14M15, 14N15, 55R12, 55R40, 55R91, 57R20 (Secondary) We calculate the ordinary $C_2$-cohomology of $BT^2$ with Burnside ring coefficients, using an extended grading that allows us to capture a more natural set of generators. We discuss how this cohomology is related to those of $BT^1$ and $BU(2)$, calculated previously, both relationships being more complicated than in the nonequivariant case. |
| title | The $C_2$-equivariant ordinary cohomology of $BT^2$ |
| topic | Algebraic Topology 55N91 (Primary) 14M15, 14N15, 55R12, 55R40, 55R91, 57R20 (Secondary) |
| url | https://arxiv.org/abs/2411.06470 |