Legendrian framings for two-bridge links

Details Legendrian framings for two-bridge links Legendrian framings for two-bridge links

2009-10-02

arxiv.org/abs/0910.0355v1

Mathematics

Geometric Topology

8 pages, 7 figures

Scientific paper

We define the Thurston-Bennequin polytope of a two-component link as the convex hull of all pairs of integers that arise as framings of a Legendrian representative. The main result of this paper is a description of the Thurston-Bennequin polytope for two-bridge links. As an application, we construct non-quasipositive surfaces in $\R^3$ all whose sub-annuli are quasipositive.

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