Dr. Yalong Cao:From curve counting on Calabi-Yau 4-folds to quasimaps for quivers with potentials
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Yalong Cao,RIKEN
Inviter:
Prof. Baohua Fu
Title:
From curve counting on Calabi-Yau 4-folds to quasimaps for quivers with potentials
Language:
English
Time & Venue:
2023.04.18 15:30-16:30 MCM410
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.
