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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

6 votes

Stable graphs: Feynman diagrams and Deligne-Mumford space

I'm not sure exactly what the question is, but let me comment that lots of Feynman graphs with lots of different rules for labelling the vertices come up in QFT, as explained by Theo. From the QFT po …
Dylan Thurston's user avatar
16 votes

Why is a 2d TQFT formulated as a functor?

There are interesting examples where the duality you're trying to bake in does not hold. In particular, the 3+1 dimensional (pseudo-)TQFTs coming from Seiberg-Witten theory in 4 dimensions do not hav …
Dylan Thurston's user avatar