Quantum Serre duality for quasimaps

Abstract: 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 recent results proving a quantum Serre duality statement for quasimap invariants. In shifting focus to quasimaps, we obtain a comparison that is simpler and which also holds for non-convex complete intersections. This is joint work with Mark Shoemaker.

algebraic geometry

Audience: researchers in the topic

Algebraic Geometry NorthEastern Series (AGNES)