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The Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link:
the Fuchs conjecture and beyond
Published Web Location
https://arxiv.org/pdf/math/0511097.pdfNo data is associated with this publication.
Abstract
We show that the ungraded ruling invariants of a Legendrian link can be realized as certain coefficients of the Kauffman polynomial which are non-vanishing if and only if the upper bound for the Bennequin number given by the Kauffman polynomial is sharp. This resolves positively a conjecture of Fuchs. Using similar methods a result involving the upper bound given by the HOMFLY polynomial and 2-graded rulings is proved.