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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
7
votes
Mirror symmetry mod p?! ... Physics mod p?!
To me, it seems that the operation mirror to the changing of the base field is the changing of coefficients in Floer homology. Let me give you some examples.
For the case when $k$ is any field, we hav …
6
votes
Are Fukaya categories Calabi-Yau categories?
I believe the correct statement, currently, is that its not established but it is close. Fukaya has a preprint giving a model for Floer cohomology of a Lagrangian that has a pairing at the chain level …