From curve counting on Calabi-Yau 4-folds to quasimaps for quivers with potentials
I will start by reviewing an old joint work with Davesh Maulik and Yukinobu Toda on relating Gromov-Witten, Gopakumar-Vafa (in the sense of Klemm-Pandharipande) and stable pair invariants on compact Calabi-Yau 4-folds. For non-compact CY4 like local curves, similar invariants can be studied via the perspective of quasimaps to quivers with potentials. In a recent joint work with Gufang Zhao, we define a virtual count for such quasimaps and prove a gluing formula. Computations of examples will also be discussed.
- Informed public
- Sergej Monavari
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)