The Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: the Fuchs conjecture and beyond

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dc.creatorRutherford, Dan
dc.date2005-11-04
dc.date.accessioned2026-07-07T06:50:46Z
dc.date.available2026-07-07T06:50:46Z
dc.descriptionWe 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.
dc.description17 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/math/0511097
dc.identifierhttp://arxiv.org/abs/math/0511097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104767
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57M27
dc.titleThe Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: the Fuchs conjecture and beyond
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