Omar Kidwai: Donaldson-Thomas invariants for the Bridgeland-Smith correspondence

Abstract: We describe the calculation of (refined) Donaldson-Thomas invariants for a certain class of 3-Calabi-Yau triangulated categories whose space of stability conditions can be interpreted as a space of quadratic differentials on a Riemann surface. 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.