English

Invariants of Legendrian knots

Geometric Topology 2007-05-23 v1

Abstract

We present two different constructions of invariants for Legendrian knots in the standard contact space R3\R^3. These invariants are defined combinatorially, in terms of certain planar projections, and are useful in distinguishing Legendrian knots that have the same classical invariants but are not Legendrian isotopic.

Keywords

Cite

@article{arxiv.math/0304294,
  title  = {Invariants of Legendrian knots},
  author = {Yuri Chekanov},
  journal= {arXiv preprint arXiv:math/0304294},
  year   = {2007}
}
R2 v1 2026-07-22T16:53:44.777Z