English

Lagrangian Fillings of Legendrian $4$-Plat Knots

Symplectic Geometry 2017-09-12 v1 Geometric Topology

Abstract

We characterize which Legendrian 44-plat knots in the standard contact 33-space have exact orientable Lagrangian fillings. As a corollary, we show that the underlying smooth knot types of fillable Legendrian 44-plats are positive.

Keywords

Cite

@article{arxiv.1709.02890,
  title  = {Lagrangian Fillings of Legendrian $4$-Plat Knots},
  author = {Erin R. Lipman and Joshua M. Sabloff},
  journal= {arXiv preprint arXiv:1709.02890},
  year   = {2017}
}

Comments

24 pages, 20 figures