I wanted to know if anyone had any good introductions on algebraic topology for the theoretical physicist? I am particularly interested in applications to condensed matter physics, but would be happy with any kind of resource — all my friends and I can find are the more abstract mathematical textbooks and articles.
In terms of relevant background, I am looking for something that assumes basic knowledge of quantum theory, quantum field theory, solid state physics, group theory, abstract algebra, and real analysis.
Best Answer
The books of Nakahara and Frenkel are two physicists' books that come to mind. Charles Kane himself recommended Nakahara very warmly to physicsts, saying he had studied all he knows about topology from that book.
Personally I prefer the simpler math books. One of which is Bredon's.