On arc index and maximal Thurston-Bennequin number

Lenhard Ng

doi:10.1142/s0218216511009820

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arXiv · math/0612356

On arc index and maximal Thurston-Bennequin number

Lenhard Ng

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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.

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Lenhard Ng. 2011-04-22. On arc index and maximal Thurston-Bennequin number. https://doi.org/10.1142/s0218216511009820

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