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
Abstract
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.
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