Motivic cohomology of the Nisnevich classifying space of even Clifford groups
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917846544547840 |
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| author | Tanania, Fabio |
| author_facet | Tanania, Fabio |
| contents | In this paper, we consider the split even Clifford group $Γ^+_n$ and compute the mod 2 motivic cohomology ring of its Nisnevich classifying space. The description we obtain is quite similar to the one provided for spin groups in [11]. The fundamental difference resides in the behaviour of the second subtle Stiefel-Whitney class that is non-trivial for even Clifford groups, while it vanished in the spin-case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_04772 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Motivic cohomology of the Nisnevich classifying space of even Clifford groups Tanania, Fabio Algebraic Geometry Algebraic Topology K-Theory and Homology In this paper, we consider the split even Clifford group $Γ^+_n$ and compute the mod 2 motivic cohomology ring of its Nisnevich classifying space. The description we obtain is quite similar to the one provided for spin groups in [11]. The fundamental difference resides in the behaviour of the second subtle Stiefel-Whitney class that is non-trivial for even Clifford groups, while it vanished in the spin-case. |
| title | Motivic cohomology of the Nisnevich classifying space of even Clifford groups |
| topic | Algebraic Geometry Algebraic Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2302.04772 |