The Bennequin number of n-trivial closed n-braids is negative

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dc.creatorDasbach, Oliver T.
dc.creatorLin, Xiao-Song
dc.date2000-10-27
dc.date.accessioned2026-07-07T08:05:57Z
dc.date.available2026-07-07T08:05:57Z
dc.descriptionA famous result of Bennequin states that for any braid representative of the unknot the Bennequin number is negative. We will extend this result to all n-trivial closed n-braids. This is a class of infinitely many knots closed under taking mirror images. Our proof relies on a non-standard parametrization of the Homfly polynomial.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0010278
dc.identifierhttp://arxiv.org/abs/math/0010278
dc.identifierMath. Res. Lett. 8 (2001), no. 5-6, 629--635
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130446
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57M25; 57M27; 57M50
dc.titleThe Bennequin number of n-trivial closed n-braids is negative
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