Applications of Topology in Physics

[Couchyam]

Hello, I'm a physics undergrad who knows a little bit about topology (some point set, homotopy theory, and covering spaces), and I was wondering if people could describe some instances in which topology is useful for studying phenomena in physics (such as in condensed matter theory, or in particle physics).

Thanks!

 

[K^2]

Group theory is heavily involved in particle physics, which topology gives you a head start on, but as far as actual topology, the only use of it is in General Relativity, and only so far as to get you into manifolds and metric, since topology of space-time is fixed in GR.