A New Way to Compute the Thurston-Bennequin Number

Hao Wu

A New Way to Compute the Thurston-Bennequin Number

Geometric Topology 2007-05-23 v2

Authors: Hao Wu

Abstract

We establish a relation between several easy-to-calculate numerical invariants of generic knots in $\mathbb{H}^2 \times S^1$ , and use it to give a new method of computing the Thurston-Bennequin number of Legendrian knots in the tight contact $\mathbb{R}^3$ .

Keywords

Thurston-Bennequin number Legendrian knots generic knots H^2 x S^1 tight contact R^3 numerical invariants

Cite

@article{arxiv.math/0312224,
  title  = {A New Way to Compute the Thurston-Bennequin Number},
  author = {Hao Wu},
  journal= {arXiv preprint arXiv:math/0312224},
  year   = {2007}
}

Comments

7 pages, 3 figures

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