Browsing by Subject "TRANSVERSE KNOTS"

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    ON ARC INDEX AND MAXIMAL THURSTON–BENNEQUIN NUMBER
    (Journal of Knot Theory and Its Ramifications, 2012-04) Ng, L
    We discuss the relation between arc index, maximal ThurstonBennequin number, and Khovanov homology for knots. As a consequence, we calculate the arc index and maximal ThurstonBennequin 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. © 2012 World Scientific Publishing Company.