Abstract
We show that an upper bound for the maximal Thurston--Bennequin number of any double of a knot $K$ given by the Kauffman polynomial is sharp if the bound is sharp for $K$. In particular, we give formulas for the maximal Thurston--Bennequin numbers of positive doubles of torus knots and two-bridge knots.
Citation
Toshifumi Tanaka. "The maximal Thurston--Bennequin number of a doubled knot." Osaka J. Math. 47 (1) 177 - 187, March 2010.
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