Seminar in Real and Complex Geometry

Thursday, June 9, 2022, 16:15-17:45, online (via zoom)

Amanda Hirschi
(Cambridge University)

A construction of global Kuranishi charts for Gromov-Witten moduli spaces of arbitrary genus


Symplectic Gromov-Witten invariants have long been complicated by the fact that delicate local-to-global arguments were required in their construction. In 2021 Abouzaid-McLean-Smith gave the first construction of global charts for general Gromov-Witten moduli spaces in genus zero. I will describe a generalisation of their construction for stable maps of higher genus and discuss potential applications. This is joint work in progress with Mohan Swaminathan.