Gromov Witten invariants of log Calabi--Yau 3-folds are holomorphic lagrangian correspondences
The algebra-topology seminar covers topics in Algebra and Topology
Date & time
Date/time
23 Apr 2024 3:00pm - 23 Apr 2024 4:00pm
Speaker
Speakers
Brett Parker (ANU)
Event series
Event series
Contact
Content navigation
Description
Abstract
Motivated by geometric quantisation, Alan Weinstein famously proposed using Lagrangian correspondences as morphisms in a symplectic category. Analytic difficulties plague this idea in the smooth setting, but a holomorphic version of Weinstein's symplectic category overcomes such difficulties. The evaluation space for the moduli stack of holomorphic curves in a log Calabi--Yau 3-fold has a natural holomorphic symplectic structure constructed from the 3-fold's holomorphic volume form. Moreover, the image of the moduli stack of holomorphic curves is a holomorphic Lagrangian, and the pushforward of the virtual fundamental is a holomorphic Lagrangian cycle.
This will be a relatively gentle talk, introducing and motivating the holomorphic Weinstein category.
Location
Seminar Room 1.33, Hanna Neumann Building 145
Science Road, Acton ACT 2601
-35.275389387895, 149.11926090717
Upcoming events in this series
4 Jul 2024 | 11am - 12pm
The algebra-topology seminar covers topics in Algebra and Topology