Counting Solutions of Kapustin-Witten Equations on a Three-Manifold Times a Line from Physics Dualities

In my talk I will summarize results about some explicit physics predictions of counts of solutions of Kapustin-Witten equations on a closed three-manifold times a line or a half-line. In particular I will describe some conjectural relations between these counts for the case of a half-line and WRT/CGP invariants of 3-manifolds. In the case of a full line, I will describe how one can obtain explicit predictions using Stokes phenomenon in the analytically continued Chern-Simons theory for a class of 3-manifolds.

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