Gromov–Witten invariants of some non-convex complete intersections


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March 9, 2021 8:00 pm - 9:00 pm
via Zoom Video Conferencing

Nawaz Sultani - University of Michigan

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 a class of orbifold complete intersections. This talk will be based on joint work with Felix Janda (Notre Dame) and Yang Zhou (Harvard) and upcoming work with Rachel Webb (Berkeley).