English

Legendrian framings for two-bridge links

Geometric Topology 2009-10-05 v1

Abstract

We define the Thurston-Bennequin polytope of a two-component link as the convex hull of all pairs of integers that arise as framings of a Legendrian representative. The main result of this paper is a description of the Thurston-Bennequin polytope for two-bridge links. As an application, we construct non-quasipositive surfaces in R3\R^3 all whose sub-annuli are quasipositive.

Keywords

Cite

@article{arxiv.0910.0355,
  title  = {Legendrian framings for two-bridge links},
  author = {Sebastian Baader and Masaharu Ishikawa},
  journal= {arXiv preprint arXiv:0910.0355},
  year   = {2009}
}

Comments

8 pages, 7 figures

R2 v1 2026-06-21T13:53:21.671Z