Legendrian knots and links classified by classical invariants

Simple item page
dc.creatorDing, Fan
dc.creatorGeiges, Hansjörg
dc.date2005-03-02
dc.date.accessioned2026-07-07T08:49:46Z
dc.date.available2026-07-07T08:49:46Z
dc.descriptionIt is shown that Legendrian (resp. transverse) cable links in the 3-sphere with its standard tight contact structure, i.e. links consisting of an unknot and a cable of that unknot, are classified by their oriented link type and the classical invariants (Thurston-Bennequin invariant and rotation number in the Legendrian case, self-linking number in the transverse case). The analogous result is proved for torus knots in the 1-jet space of the circle with its standard tight contact structure.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0503033
dc.identifierhttp://arxiv.org/abs/math/0503033
dc.identifierCommun. Contemp. Math. 9 (2007), 135-162
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144420
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject53D35; 57M25
dc.titleLegendrian knots and links classified by classical invariants
dc.typetext

Files

Collections

arXiv