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12 votes
2 answers
2k views

What is the infinite-dimensional-manifold structure on the space of smooth paths mod thin ho...

This question is motivated by the recent paper An invitation to higher gauge theory by Baez and Huerta, and the 2007 paper Parallel Transport and Functors by Schreiber and Waldorf. Let $M$ be a smoot …
Theo Johnson-Freyd's user avatar
12 votes
3 answers
4k views

(When) does Schur's lemma break?

Edit: I wrote the following question and then immediately realized an answer to it, and moonface gave the same answer in the comments. Namely, $\mathbb C(t)$, the field of rational functions of $\mat …
Theo Johnson-Freyd's user avatar