Let X be a smooth variety or orbifold and let Z be a complete intersection in X defined by a section of a vector bundle E over X. Originally proposed by Givental, quantum Serre duality refers to a precise relationship between the Gromov-Witten invariants of Z and those of the dual vector bundle E^\vee. In this talk, we present a quantum Serre duality statement for quasimap invariants. We begin by motivating the study of such invariants. We then describe how working with quasimaps allows us to obtain a comparison that is simpler, and that also holds in greater generality than previous quantum Serre duality results in Gromov-Witten theory. We conclude by combining our results with the wall-crossing formula developed by Zhou to recover a quantum Serre duality statement in Gromov-Witten theory.

Zoom Link: https://zoom.us/j/7481354483
Meeting ID: 748 135 4483