On arc index and maximal Thurston-Bennequin number

Details On arc index and maximal Thurston-Bennequin number On arc index and maximal Thurston-Bennequin number

2006-12-13

arxiv.org/abs/math/0612356v4

Mathematics

Geometric Topology

10 pages, v4: corrected typos

Scientific paper

10.1142/S0218216511009820

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.

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