12–17 Jan 2025
SRS
Europe/Zurich timezone

A categorification of Stokes coefficients in Chern-Simons theory on plumbed 3-manifolds

16 Jan 2025, 16:30
1h
SRS

SRS

Hotel Les Sources Chemin du Vernex 9 1865 Les Diablerets Switzerland

Speaker

Pavel Putrov

Description

The Stokes coefficients of the perturbative expansions in Chern-Simons theory around flat connections on a 3-manifold are known to be integers. In my talk, I will describe a way to promote those integers to Z/2-graded vector spaces for a certain large class of non-hyperbolic 3-manifolds. The vector spaces are given by a version of Lagrangian Floer homology in a finite-dimensional space, with an explicit algorithm to calculate them. The talk is based on a joint work with S. Gukov.

Presentation materials

There are no materials yet.