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Department of Mathematics,
University of California San Diego

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Nawaz Sultani

Academia Sinica

Gromov-Witten Theory of Complete Intersections in Quotient Stacks

Abstract:

For convex complete intersections, the Gromov-Witten invariants are often computed using the Quantum Lefshetz Hyperplane theorem, which relates the invariants to those of the ambient space. However,  the convexity condition often fails when the target is an orbifold, even for genus 0, hence 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 works with Felix Janda (Notre Dame) and Yang Zhou (Fudan), and with Rachel Webb (Berkeley).

January 10, 2023

4:00 PM

APM 5829 

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