Geodesic
Maximal Thurston–Bennequin number of two-bridge links
Ng, Lenhard1
1Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge MA 02139, USA
Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 427-434
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We compute the maximal Thurston–Bennequin number for a Legendrian two-bridge knot or oriented two-bridge link in standard contact ℝ3, by showing that the upper bound given by the Kauffman polynomial is sharp. As an application, we present a table of maximal Thurston–Bennequin numbers for prime knots with nine or fewer crossings.

DOI : 10.2140/agt.2001.1.427
Keywords: Legendrian knot, two-bridge, Thurston–Bennequin number, Kauffman polynomial

Ng, Lenhard  1

1 Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge MA 02139, USA 
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Ng, Lenhard. Maximal Thurston–Bennequin number of two-bridge links. Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 427-434. doi: 10.2140/agt.2001.1.427

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