A note on Vassiliev invariants of quasipositive knots

dc.creatorBaader, Sebastian
dc.date2004-12-22
dc.date2005-04-13
dc.date.accessioned2026-07-07T05:15:35Z
dc.date.available2026-07-07T05:15:35Z
dc.descriptionIt has been known that any Alexander polynomial of a knot can be realized by a quasipositive knot. As a consequence, the Alexander polynomial cannot detect quasipositivity. In this paper we prove a similar result about Vassiliev invariants: for any oriented knot K and any natural number n there exists a quasipositive knot Q whose Vassiliev invariants of order less than or equal to n coincide with those of K.
dc.description7 pages, 7 figures, one erroneous statement removed, more details in proof
dc.identifierhttps://arxiv.org/abs/math/0412453
dc.identifierhttp://arxiv.org/abs/math/0412453
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73677
dc.subjectGeometric Topology
dc.subject57M25
dc.titleA note on Vassiliev invariants of quasipositive knots
dc.typetext

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