Chow-Witt Theory in the Arrowtic Paradigm

Satya Mandal

Chow-Witt Theory in the Arrowtic Paradigm

K-Theory and Homology 2026-07-19 v1 Algebraic Geometry

Authors: Satya Mandal

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.

Keywords

Chow-Witt groups K-theory arrowtic paradigm homotopy invariance projective spaces

Cite

@article{arxiv.2607.17010,
  title  = {Chow-Witt Theory in the Arrowtic Paradigm},
  author = {Satya Mandal},
  journal= {arXiv preprint arXiv:2607.17010},
  year   = {2026}
}