Chow-Witt Rings of Classifying Spaces of Products of Multiplicative and Cyclic Groups
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915451239399424 |
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| author | Lachmann, Andrea |
| author_facet | Lachmann, Andrea |
| contents | We compute the total Chow-Witt rings of the classifying space Bμ_n of the roots of unity, as well as the products BG_m x Bμ_n and Bμ_m x Bμ_n for all m,n greater than or equal to 1 based on the strategy by di Lorenzo and Mantovani (2023) for Bμ_n with n even. Moreover we compute the total I^j-cohomology and Chow-Witt rings of P^q x P^r for all q,r greater than or equal to 1 and of BG_m x BG_m. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13605 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chow-Witt Rings of Classifying Spaces of Products of Multiplicative and Cyclic Groups Lachmann, Andrea Algebraic Geometry Algebraic Topology K-Theory and Homology 19E15 (Primary) 14F42, 14C15, 55P91 (Secondary) We compute the total Chow-Witt rings of the classifying space Bμ_n of the roots of unity, as well as the products BG_m x Bμ_n and Bμ_m x Bμ_n for all m,n greater than or equal to 1 based on the strategy by di Lorenzo and Mantovani (2023) for Bμ_n with n even. Moreover we compute the total I^j-cohomology and Chow-Witt rings of P^q x P^r for all q,r greater than or equal to 1 and of BG_m x BG_m. |
| title | Chow-Witt Rings of Classifying Spaces of Products of Multiplicative and Cyclic Groups |
| topic | Algebraic Geometry Algebraic Topology K-Theory and Homology 19E15 (Primary) 14F42, 14C15, 55P91 (Secondary) |
| url | https://arxiv.org/abs/2508.13605 |