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Gauge theory on graphs

  • Shuhan Jiang (MPI MiS, Leipzig)
A3 01 (Sophus-Lie room)

Abstract

We provide the notions of connection $1$-forms and curvature $2$-forms on graphs. We prove a Weitzenböck formula for connection Laplacians in this setting. We also define a discrete Yang-Mills functional and study its Euler-Lagrange equations.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail

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