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Christopher Cornwell : Polynomials, grid diagrams, and Legendrian knots in lens spaces (Nov 9, 2010 4:25 PM)

We discuss a HOMFLY polynomial invariant for links in lens spaces. We then show how this polynomial is related to the contact invariants of Legendrian and transverse links in lens spaces having a certain tight contact structure. In fact, we generalize a result of Ng, casting Bennequin-type inequalities in such contact lens spaces into a general framework.

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