Global Kuranishi Charts and Product Formula for Symplectic Gromov-Witten Invariants

Explore a comprehensive lecture on global Kuranishi charts and their application to symplectic Gromov-Witten invariants. Delve into Amanda Hirschi's presentation from the Western Hemisphere Virtual Symplectic Seminar, where she motivates and explains the construction of global Kuranishi charts for moduli spaces of stable pseudoholomorphic maps of arbitrary genus. Discover how this construction leads to a proof of the product formula for symplectic Gromov-Witten invariants, a result of joint work with Mohan Swaminathan. Gain insights into the extension of this concept beyond genus 0, as highlighted by Mohammed Abouzaid's comment. This one-hour talk offers a deep dive into advanced topics in symplectic geometry and moduli spaces, suitable for researchers and graduate students in the field.

Mohammed Abouzaid: We explicitly used and proved this in genus 0