I am a physics graduate student trying to understand more mathematical aspects of gauge theories.

How can I understand ground state degeneracy of a simple Chern Simons Theory: 2+1D U(1) $S= \int_M kAdA$ for different k- values (integers, rationals, irrationals?) on torus or other manifolds in a more mathematics/differential geometry oriented way? I have seen the calculation in physics literature, but I cant figure out how to translate it in differential geometry language.

I know it must be there somewhere in literature, but I am not able to find it. Thank you for your help.

This post imported from StackExchange MathOverflow at 2014-11-02 16:32 (UTC), posted by SE-user ShuklaS