English

Lagrangian fillings for Legendrian links of finite type

Symplectic Geometry 2021-01-07 v1 Combinatorics Geometric Topology

Abstract

We prove that there are at least seeds many exact embedded Lagrangian fillings for Legendrian links of type ADE\mathsf{ADE}. We also provide seeds many Lagrangian fillings with certain symmetries for type BCFG\mathsf{BCFG}. Our main tools are NN-graphs and the combinatorics of seed patterns of finite type.

Keywords

Cite

@article{arxiv.2101.01943,
  title  = {Lagrangian fillings for Legendrian links of finite type},
  author = {Byung Hee An and Youngjin Bae and Eunjeong Lee},
  journal= {arXiv preprint arXiv:2101.01943},
  year   = {2021}
}

Comments

46 pages