Algebra and Topology

Gromov Witten invariants of log Calabi--Yau 3-folds are holomorphic lagrangian correspondences

The algebra-topology seminar covers topics in Algebra and Topology

schedule Date & time
23 Apr 2024 | 3 - 4pm
person Speaker


Brett Parker (ANU)
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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.


Seminar Room 1.33, Hanna Neumann Building 145
Science Road, Acton ACT 2601

-35.275389387895, 149.11926090717

Upcoming events in this series

Algebra and Topology
23 Apr 2024 | 3 - 4pm