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Equivariant Lagrangian correspondence and a conjecture of Teleman by Lau, Siu-Cheong; Leung, Nai-Chung Conan; Li, Yan-Lung Leon is a scholarly article available to read on EtoBox.

What is Equivariant Lagrangian correspondence and a conjecture of Teleman about?

In this paper, we study the Floer theory of equivariant Lagrangian correspondences and apply it to address a conjecture of Teleman, which establishes a relationship between the disc potential of an invariant Lagrangian submanifold and that of its quotient. A key step is to extend Fukaya's construction of an $A_\infty$ tri-module for Lagrangian correspondences to Borel spaces. We demonstrate that the equivariant obstruction of a Lagrangian correspondence plays an essential role, which leads to quantum corrections in the disc potentials of quotients. We solve the obstruction in the toric setup and relate it with mirror maps for compact semi-Fano toric manifolds.

Author

Lau, Siu-Cheong; Leung, Nai-Chung Conan; Li, Yan-Lung Leon

Published

2023

Language

EN