English

Legendrian graphs and quasipositive diagrams

Geometric Topology 2007-05-23 v1

Abstract

In this paper we clarify the relationship between ribbon surfaces of Legendrian graphs and quasipositive diagrams by using certain fence diagrams. As an application, we give an alternative proof of a theorem concerning a relationship between quasipositive fiber surfaces and contact structures on the 3-sphere. We also answer a question of L. Rudolph concerning moves of quasipositive diagrams.

Keywords

Cite

@article{arxiv.math/0609592,
  title  = {Legendrian graphs and quasipositive diagrams},
  author = {Sebastian Baader and Masaharu Ishikawa},
  journal= {arXiv preprint arXiv:math/0609592},
  year   = {2007}
}

Comments

17 pages, 19 figures