VASSILIEV INVARIANTS FOR TORUS KNOTS

Citation
M. Alvarez et Jmf. Labastida, VASSILIEV INVARIANTS FOR TORUS KNOTS, Journal of knot theory and its ramifications, 5(6), 1996, pp. 779-803
Citations number
40
Categorie Soggetti
Mathematics, Pure",Mathematics
ISSN journal
02182165
Volume
5
Issue
6
Year of publication
1996
Pages
779 - 803
Database
ISI
SICI code
0218-2165(1996)5:6<779:VIFTK>2.0.ZU;2-H
Abstract
Vassiliev, invariants up to order six for arbitrary torus knots {n, m} , with n and m coprime integers, are computed. These invariants are po lynomials in n and m whose degree coincide with their order. Furthermo re, they turn out to be integer-valued in a normalization previously p roposed by the authors.