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Moduli of Lagrangian immersions with formal deformations

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.Comment: 23 pages, 12 figures, partly presented in the Gokova Geometry/Topology Conference 201

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