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Noncompact quantum knot invariants

โœ Scribed by T.D. Dimofte

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
150 KB
Volume
192-193
Category
Article
ISSN
0920-5632

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โœฆ Synopsis

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).

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