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Gauge theory in physics and mathematics refers to a field theory whose fields include principal bundles with connection.

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Is the space of connections modulo gauge equivalence paracompact?

I find this question interesting, but need to get it out of my system: is the space of connections (modulo gauge) on a compact four-manifold paracompact, in the Sobolev topology? If so, I believe it …
Alex Waldron's user avatar