Vassiliev invariants of quasipositive knots
OPEN ACCESS
Loading...
Author / Producer
Date
2006-09
Publication Type
Journal Article
ETH Bibliography
yes
OPEN ACCESS
Data
Rights / License
Abstract
Quasipositive knots are transverse intersections of complex plane curves with the standard sphere S3⊂C2. It is 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.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
142 (5)
Pages / Article No.
1343 - 1350
Publisher
Cambridge University Press
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Vassiliev invariants; quasipositive knots; complex plane curves
Organisational unit
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.