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MiS Preprint
36/2022

Gauge theory on graphs

Shuhan Jiang

Abstract

In this paper, we provide the notions of connections, exterior covariant derivatives, and connection Laplacians on a graph. We prove a Weitzenböck formula in this setting. We also define a discrete Yang-Mills functional and study the solutions to its Euler-Lagrange equations.

Received:
Dec 2, 2022
Published:
Dec 2, 2022
MSC Codes:
05C10

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2022 Repository Open Access
Shu-Han Jiang

Gauge theory on graphs