Integrality in analytically continued Chern-Simons theory

Duration: 1 hour 10 mins
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Description: Putrov, P (Institute for Advanced Study, Princeton)
Wednesday 12th April 2017 - 10:00 to 11:00
 
Created: 2017-04-18 16:26
Collection: Homology theories in low dimensional topology
Publisher: Isaac Newton Institute
Copyright: Putrov, P
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
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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