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

## [HYBRID WORKSHOP] New Four-Dimensional Gauge Theories October 24, 2022 - October 28, 2022

**Speaker(s):**Pavel Putrov (Abdus Salam International Centre for Theoretical Physics)

**Location:**SLMath: Eisenbud Auditorium, Online/Virtual

**Primary Mathematics Subject Classification**

**Secondary Mathematics Subject Classification**

#### 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.

Please report video problems to itsupport@slmath.org.

**See more of our Streaming videos on our main
VMath Videos page.**