Seminar in Real and Complex Geometry

Thursday, December 21, 2023, 16:15-17:45, online via zoom




Amanda Hirshi
(University of Cambridge)

Global Kuranishi charts and a localisation formula in symplectic GW theory


Abstract
             

I will briefly describe how the construction of a global Kuranishi chart for moduli spaces of stable pseudoholomorphic maps allows for a straightforward definition of sympletic GW invariants, including gravitational descendants. Subsequently, I will describe how to extend this to the equivariant setting and sketch the proof of a localisation formula for the equivariant GW invariants of a Hamiltonian torus manifold. This is partially joint work with Mohan Swaminathan.