On arc index and maximal Thurston-Bennequin number

Abstract

We discuss the relation between arc index, maximal Thurston--Bennequin number, and Khovanov homology for knots. As a consequence, we calculate the arc index and maximal Thurston--Bennequin number for all knots with at most 11 crossings. For some of these knots, the calculation requires a consideration of cables which also allows us to compute the maximal self-linking number for all knots with at most 11 crossings.

10 pages, v4: corrected typos

References in corpus (1)

• The algebraic crossing number and the braid index of knots and links

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• An infinite family of Legendrian torus knots distinguished by cube number
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