Quasimodular forms from Betti numbers

Geometry, Symmetry and Physics
Event time: 
Monday, February 22, 2021 - 4:30pm
https://yale.zoom.us/j/92811265790 (Password is the same as last semester)
Pierrick Bousseau
Speaker affiliation: 
ETH Zurich
Event description: 

This talk will be about refined curve counting on local P^2, the noncompact Calabi-Yau 3-fold total space of the canonical line bundle of the projective plane. I will explain how to construct quasimodular forms starting from Betti numbers of moduli spaces of dimension 1 coherent sheaves on P^2. This gives a proof of some stringy predictions about the refined topological string theory of local P^2 in the Nekrasov-Shatashvili limit. Partly based on work with Honglu Fan, Shuai Guo, and Longting Wu.