English

On arc index and maximal Thurston-Bennequin number

Geometric Topology 2013-10-09 v4 Symplectic Geometry

Abstract

We discuss the relation between arc index, maximal Thurston--Bennequin number, and Khovanov homology for knots. As a consequence, we calculate the arc index and maximal Thurston--Bennequin number for all knots with at most 11 crossings. For some of these knots, the calculation requires a consideration of cables which also allows us to compute the maximal self-linking number for all knots with at most 11 crossings.

Keywords

Cite

@article{arxiv.math/0612356,
  title  = {On arc index and maximal Thurston-Bennequin number},
  author = {Lenhard Ng},
  journal= {arXiv preprint arXiv:math/0612356},
  year   = {2013}
}

Comments

10 pages, v4: corrected typos

R2 v1 2026-07-22T17:47:46.431Z