Abstract
We show that the upper bound of the maximal Thurston–Bennequin number for an oriented alternating link given by the Kauffman polynomial is sharp. As an application, we confirm a question of Ferrand. We also give a formula of the maximal Thurston–Bennequin number for all two-bridge links. Finally, we introduce knot concordance invariants derived from the Thurston–Bennequin number and the Maslov number of a Legendrian knot.
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