All Questions
7 questions
15
votes
2
answers
2k
views
Resources for algebraic topology in condensed matter physics
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 ...
2
votes
0
answers
255
views
Any good reference on Maslov index (or Morse index)?
Any good reference on Maslov index (or Morse index)?
I have some basic knowledge of differential geometry, calculus of variation. So is there any good reference for me?
1
vote
0
answers
282
views
Prereqs for The Geometry of Physics by Frankel [duplicate]
I'm interested in giving The Geometry of Physics a read, and I was wondering what the mathematical and (more importantly) physical prerequisites are. My background is a bit stronger on the ...
2
votes
1
answer
2k
views
Which are the best introductory books for topology, algebraic geometry, differential geometry, manifolds, etc, needed for string theory? [duplicate]
Which are the best introductory books for topology, algebraic geometry, differential geometry, manifolds, etc, needed for string theory?
3
votes
4
answers
3k
views
Topology needed for Differential Geometry [duplicate]
I am a physics undergrad, and need to study differential geometry ASAP to supplement my studies on solitons and instantons. How much topology do I need to know. I know some basic concepts reading from ...
51
votes
5
answers
29k
views
Book covering differential geometry and topology for physics
I'm interested in learning how to use geometry and topology in physics. Could anyone recommend a book that covers these topics, preferably with some proofs, physical applications, and emphasis on ...
18
votes
5
answers
2k
views
Applications of Geometric Topology to Theoretical Physics
Geometric topology is the study of manifolds, maps between manifolds, and embeddings of manifolds in one another. Included in this sub-branch of Pure Mathematics; knot theory, homotopy, manifold ...