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Integrality in analytically continued Chern-Simons theory

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HTLW03 - Physics and knot homologies

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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