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Showing 1 to 3 of 3 for “"Thurston-bennequin number"”.
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The Maximal Thurston-Bennequin Number on Grid Number n Diagrams
<p>We will prove an upper bound for the Thurston-Bennequin number of Legendrian knots and links on a rectangular grid with arc index n.</p> <p>TB(n)=CR(n)-[n/2]</p> <p>In order to prove the bound, we will separate our work for when n is even and when n is odd. After we prove the upper bound, we …
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Hypercube diagrams for knots, links, and knotted tori
For a knot K the cube number is a knot invariant defined to be the smallest n for which there is a cube diagram of size n for K. Examples of knots for which the cube number detects chirality are presented. There is also a Legendrian version of this invariant called the Legendrian cube number. We …
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Invariants of Legendrian links
… related question, the calculation of the maximal Thurston-Bennequin number for a link, is answered for some large classes of links.