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The Chow--Witt rings of the classifying space of quadratically oriented bundles (2501.06302v1)
Published 10 Jan 2025 in math.AT, math.AG, and math.KT
Abstract: In this paper we compute the Chow--Witt rings of the classifying space ${\rm BSL}_nc$ of quadratically oriented vector bundles of rank $n$. We also discuss the corresponding quadratically-oriented cobordism spectrum ${\rm MSL}c$ and show that it is equivalent to $\rm{MSL}$ after inverting $\eta$.
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