Quadratic differentials and Donaldson-Thomas invariants
Organizer
Speaker
Omar Kidwai
Time
Wednesday, October 30, 2024 1:30 PM - 2:30 PM
Venue
A3-2a-302
Online
Zoom 815 762 8413
(BIMSA)
Abstract
We recall the relation between quadratic differentials and spaces of stability conditions due to Bridgeland-Smith. We describe the calculation of (refined) Donaldson-Thomas invariants for stability conditions on a certain class of 3-Calabi-Yau triangulated categories defined by Christ-Haiden-Qiu. This category is slightly different from the usual one discussed by Bridgeland and Smith, which in particular allows us to recover a nonzero invariant in the case where the quadratic differential has a second-order pole, in agreement with predictions from the physics literature. Based on joint work with N. Williams.