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Moduli of Lagrangian immersions with formal deformations

2018/01/22 by Hansol Hong, Hong, Hansol, Siu-Cheong Lau +1
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Symplectic Geometry (math.SG) #math.AG #math.SG

paper · pdf · doi:10.48550/arxiv.1801.07100

23 pages, 12 figures, partly presented in the Gokova Geometry/Topology Conference 2017

arxiv created 2018/01/22 · openalex publication_date 2018/01/22 · arxiv updated 2018/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We introduce a joint project with Cheol-Hyun Cho on the construction of quantum-corrected moduli of Lagrangian immersions. The construction has important applications to mirror symmetry for pair-of-pants decompositions, SYZ and wall-crossing. The key ingredient is Floer-theoretical gluing between local moduli spaces of Lagrangians with different topologies.

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