From curve counting on Calabi-Yau 4-folds to quasimaps for quivers with potentials
Dr. Yalong Cao
2023-04-18 15:30-16:30
MCM410
Speaker: Dr. Yalong Cao (RIKEN)Time: 15:30-16:30 April 18, 2023 (Tuesday)
Place: MCM410
Title: From curve counting on Calabi-Yau 4-folds to quasimaps for quivers with potentials
Abstract: I will start by reviewing an old joint work with Davesh Maulik and Yukinobu Toda on relating Gromov-Witten, Gopakumar-Vafa 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 joint work in progress with Gufang Zhao, we define a virtual count for such quasimaps and prove a gluing formula. Computations of examples will also be discussed.
