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Published July 2009 | public
Journal Article

Noncompact quantum knot invariants

Dimofte, T. D.

Abstract

We describe one avenue to the explicit calculation of partition functions of knot complements in Chern-Simons theory with noncompact gauge group SL(2,C), following [1]. 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).

Additional Information

© 2009 Elsevier B.V. Available online 19 September 2009.

Additional details

Created:
August 20, 2023
Modified:
October 23, 2023