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arXiv · 2504.03969

On the Hermitian K-theory of Grassmannians

Sunny Sood·Chunkai Xu
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Abstract

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.

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Sunny Sood, Chunkai Xu. 2025-04-04. On the Hermitian K-theory of Grassmannians. https://arxiv.org/abs/2504.03969

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