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A differential form $ \omega$ is a section of the exterior algebra $\Lambda^* T^* X$ of a cotangent bundle,

4 votes
1 answer
155 views

Exact forms, gauge transformations, and the Hodge decomposition in non-abelian Gauge theory

I am trying to understand how the Hodge decomposition is affected by gauge transformations in non-abelian in gauge theory (eg $\mathrm{SU}(N)$). In particular, I am searching for a way to generalise t …