BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

$\hat Z_a (q)$ Gukov, Sergei


We will discuss various ways to define and compute new q-series invariants that have integer powers and integer coefficients. After a quick review of the physical framework, we show how it explains and generalizes the observations of Lawrence-Zagier and Hikami to arbitrary 3-manifolds. If time permits, we will talk about a modular tensor category MTC[M3] responsible for the modularity properties of \hat Z_a (q). There are many unexpected and intriguing connections with various counting problems as well as with the works of Beliakova-Blanchet-Le and Garoufalidis-Le.

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