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State integrals, the quantum dilogarithm and knots

Posted in
Stavros Garoufalidis
Thu, 2018-08-30 16:57 - 17:57

State integrals (and their building block, the quantum dilogarithm) express the partition function of complex Chern-Simons theory of triangulated 3-manifolds with boundary. I will give an introduction to the subject, focusing on examples, as well as recent results on expressing state integrals in terms of Neumann-Zagier data
and in terms of q-series of Nahm type. This is work joint in parts with R. Kashaev and D. Zagier.

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