A New Way to Compute the Thurston-Bennequin Number

Details A New Way to Compute the Thurston-Bennequin Number A New Way to Compute the Thurston-Bennequin Number

2003-12-10

arxiv.org/abs/math/0312224v2

Mathematics

Geometric Topology

7 pages, 3 figures

Scientific paper

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 $\mathbb{R}^3$.

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