Abstract
We describe one avenue to the explicit calculation of partition functions of knot complements in Chern-Simons theory with noncompact gauge group S L ( 2 , C ) , following [T.D. Dimofte, S. Gukov, J. Lenells, and D. Zagier, to appear]. Our techniques involve geometric quantization of the moduli space of flat connections on the torus, combined with quantization of the classical A-polynomial of a knot complement. We also compare these methods to known results for compact gauge group SU (2).
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