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arXiv · 2607.17010

Chow-Witt Theory in the Arrowtic Paradigm

Satya Mandal
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Abstract

In this article we propose a theory of Chow-Witt groups, in the paradigm of Quillen's arrow based approach to $K$-theory. We refer to this style of arguments as arrowtic paradigm. Other than establishing the machinery needed to work in this paradigm, we establish the homotopy invariance property of the Arrowtic Chow-Witt groups. We also compute the arrowtic Chow-Witt groups of the projective spaces, over fields.

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Satya Mandal. 2026-07-19. Chow-Witt Theory in the Arrowtic Paradigm. https://arxiv.org/abs/2607.17010

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