On finiteness of certain Vassiliev invariants

Authors

Louis H. Kauffman, University of Illinois at Chicago
Masahico Saito, Northwestern University
Stephen F. Sawin, Fairfield UniversityFollow

Document Type

Article

Article Version

Post-print

Publication Date

1997

Abstract

The best known examples of Vassiliev invariants are the coefficients of a Jones-type polynomial expanded after exponential substitution. We show that for a given knot, the first N Vassiliev invariants in this family determine the rest for some integer N.

Comments

Electronic version of an article published in Journal of Knot Theory and Its Ramifications, 6, 2, 1997, 291-297. DOI: 10.1142/S0218216597000182 © copyright World Scientific Publishing Company. http://www.worldscinet.com/jktr/jktr.shtml

Publication Title

Journal of Knot Theory and Its Ramifications

Repository Citation

Kauffman, Louis H.; Saito, Masahico; and Sawin, Stephen F., "On finiteness of certain Vassiliev invariants" (1997). Mathematics Faculty Publications. 19.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/19

Published Citation

Kauffman, Louis H., Masahico Saito, and Stephen Sawin. 1997. On finiteness of certain Vassiliev invariants. Journal of Knot Theory and Its Ramifications 6 (2), 291-297.

DOI

10.1142/S0218216597000182

Peer Reviewed