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Integrality in analytically continued Chern-Simons theory

Presented by: 
Pavel Putrov Institute for Advanced Study, Princeton
Date: 
Wednesday 12th April 2017 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
Physics predicts existence of homological invariants of closed oriented 3-manifolds similar to Khovanov-Rozansky homology of knots in a 3-sphere. The decategorified version of such invariants are q-series with integer coefficients. In my talk I will discuss properties of such invariants, how they are related to Chern-Simons partition function (WRT invariant) analytically continued w.r.t. level, and give some examples. If time permits I will also discuss how resurgence theory can be used to construct such invariants and relation to open topological strings.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons