Chow-Witt Rings of Classifying Spaces of Products of Multiplicative and Cyclic Groups

Andrea Lachmann

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arXiv · 2508.13605

Chow-Witt Rings of Classifying Spaces of Products of Multiplicative and Cyclic Groups

Andrea Lachmann

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Abstract

We compute the total Chow-Witt rings of the classifying space B\mu_n of the roots of unity, as well as the products BG_m x B\mu_n and B\mu_m x B\mu_n for all m,n greater than or equal to 1 based on the strategy by di Lorenzo and Mantovani (2023) for B\mu_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.

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BibTeX RIS

Andrea Lachmann. 2025-08-19. Chow-Witt Rings of Classifying Spaces of Products of Multiplicative and Cyclic Groups. https://arxiv.org/abs/2508.13605

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