MIT Symplectic Seminar

Thursday, February 15, 2024 at 3:30pm to 4:30pm

Building 2, 449
182 MEMORIAL DR, Cambridge, MA 02139

Speaker:  Amanda Hirschi (University of Cambridge)

Title: A localisation formula in symplectic GW theory 

Abstract: I will describe the construction of a global Kuranishi chart for moduli spaces of stable pseudoholomorphic maps and how the construction can be adapted to the equivariant setting 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 Hamiltonian torus manifold satisfying some mild assumptions. This is partially joint work with Mohan Swaminathan.

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MIT Mathematics, MIT Symplectic Seminar, Daniel Alvarez-Gavela, Paul Seidel


Department of Mathematics


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