A formula for the mod $p$ cohomology of $BPU(p)$
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909904647749632 |
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| author | Fan, Feifei |
| author_facet | Fan, Feifei |
| contents | We study the mod $p$ cohomology ring of the classifying space $BPU(p)$ of the projective unitary group $PU(p)$, when $p$ is an odd prime. We prove a mod $p$ formula analogous to a formula of Vistoli for the integral cohomology ring of $BPU(p)$. As an application, we give a simple topological proof of Vistoli's formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23399 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A formula for the mod $p$ cohomology of $BPU(p)$ Fan, Feifei Algebraic Topology We study the mod $p$ cohomology ring of the classifying space $BPU(p)$ of the projective unitary group $PU(p)$, when $p$ is an odd prime. We prove a mod $p$ formula analogous to a formula of Vistoli for the integral cohomology ring of $BPU(p)$. As an application, we give a simple topological proof of Vistoli's formula. |
| title | A formula for the mod $p$ cohomology of $BPU(p)$ |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2503.23399 |