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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

5 votes

Relationship between monodromy representations and isomorphism of flat vector bundles

Here's an answer for line bundles. A flat connection on the trivial bundle is the same as a closed one-form $\eta$. The corresponding local system is the sheaf of logarithmic antiderivatives of $\eta$ …
Hunter Brooks's user avatar