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arXiv · 2501.06302

The Chow--Witt rings of the classifying space of quadratically oriented bundles

Thomas Brazelton·Matthias Wendt
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Abstract

In this paper we compute the Chow--Witt rings of the classifying space ${\rm BSL}_n^c$ 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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Thomas Brazelton, Matthias Wendt. 2025-01-10. The Chow--Witt rings of the classifying space of quadratically oriented bundles. https://arxiv.org/abs/2501.06302

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