English

Moduli of Lagrangian immersions with formal deformations

Algebraic Geometry 2018-01-23 v1 Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.1801.07100,
  title  = {Moduli of Lagrangian immersions with formal deformations},
  author = {Hansol Hong and Siu-Cheong Lau},
  journal= {arXiv preprint arXiv:1801.07100},
  year   = {2018}
}

Comments

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