Gromov-Witten invariants of some non-convex complete intersections

Abstract: For convex complete intersections, the Gromov-Witten (GW) invariants are often computed using the Quantum Lefshetz Hyperplane theorem, which relates the invariants to those of the ambient space. However, even in the genus 0 theory, the convexity condition often fails when the target is an orbifold, and so Quantum Lefshetz is no longer guaranteed. In this talk, I will showcase a method to compute these invariants, despite the failure of Quantum Lefshetz, for orbifold complete intersections in stack quotients of the form [V // G]. This talk will be based on joint work with Felix Janda (Notre Dame) and Yang Zhou (Harvard), and upcoming work with Rachel Webb (Berkeley).

algebraic geometry

Audience: researchers in the topic

Algebraic Geometry NorthEastern Series (AGNES)