I am looking for a roadmap to be able to understand more of the physical theory behind mathematical physics (at the level where I can read physics oriented textbooks/monographs)
I have a background in manifolds, some riemannian geometry, algebraic geometry (mostly hartshorne I and II but also some of III), complex algebraic geometry, hodge theory, algebraic topology, graduate analysis, etc. (some other basic grad courses) But not k-theory or representation theory.
I’ve been reading chapter 1 of nakahara. I don’t know EM or QM and am reading on GR. I’m not sure if this would suffice. I was also thinking of reading the part 2 section of the clays book on mirror symmetry. I should also clarify that I’m not trying to achieve a mastery of modern physics.
