On the Hermitian K-theory of Grassmannians
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917355728142336 |
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| author | Sood, Sunny Xu, Chunkai |
| author_facet | Sood, Sunny Xu, Chunkai |
| contents | We compute the $\mathbb{G}W$-spectrum (Karoubi--Grothendieck--Witt spectrum) of Grassmannians over divisorial schemes defined over fields of characteristic zero, and, as a corollary, determine their stabilized $\mathbb{L}$-theory spectrum. As part of our computation, we establish split fibration sequences in $\mathbb{K}$-theory, $\mathbb{G}W$-theory and $\mathbb{L}$-theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03969 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Hermitian K-theory of Grassmannians Sood, Sunny Xu, Chunkai K-Theory and Homology Algebraic Geometry 14M15, 19G38 We compute the $\mathbb{G}W$-spectrum (Karoubi--Grothendieck--Witt spectrum) of Grassmannians over divisorial schemes defined over fields of characteristic zero, and, as a corollary, determine their stabilized $\mathbb{L}$-theory spectrum. As part of our computation, we establish split fibration sequences in $\mathbb{K}$-theory, $\mathbb{G}W$-theory and $\mathbb{L}$-theory. |
| title | On the Hermitian K-theory of Grassmannians |
| topic | K-Theory and Homology Algebraic Geometry 14M15, 19G38 |
| url | https://arxiv.org/abs/2504.03969 |