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Symplectic Geometry Seminar

A localisation formula for symplectic GW theory (Amanda Hirschi)

Amanda Hirschi

Location:  Hill 705
Date & time: Monday, 12 February 2024 at 11:00AM - 12:00PM

Abstract: I will briefly describe the construction of a global Kuranishi chart for moduli spaces of stable pseudoholomorphic maps and how the construction can be made equivariant whenever the target symplectic manifold carries a Hamiltonian action. Subsequently I will explain how this leads to a combinatorial formula for the equivariant Gromov-Witten invariants of a Hamiltonain torus manifold satisfying some mild assumption. This is partially joint work with Mohan Swaminathan.