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arXiv:math/0612356 [math.GT]AbstractReferencesReviewsResources

On arc index and maximal Thurston-Bennequin number

Lenhard Ng

Published 2006-12-13, updated 2011-04-22Version 4

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.

Comments: 10 pages, v4: corrected typos
Journal: J. Knot Theory Ramifications 21 (2012), no. 4, 1250031, 11 pp
Categories: math.GT, math.SG
Subjects: 57M27, 57R17, 53D12
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