On finiteness of certain Vassiliev invariants

Louis H. Kauffman; Masahico Saito; Stephen F. Sawin

doi:10.1142/S0218216597000182

On finiteness of certain Vassiliev invariants

Louis H. Kauffman, Masahico Saito, Stephen F. Sawin

Fairfield University

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Journal of Knot Theory and Its Ramifications
Volume	6
DOIs	https://doi.org/10.1142/S0218216597000182
State	Published - Jan 1 1997

Disciplines

Computer Sciences
Physical Sciences and Mathematics

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10.1142/S0218216597000182License: CC BY

On finiteness of certain Vassiliev invariantsFinal published version, 130 KBLicense: CC BY

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title = "On finiteness of certain Vassiliev invariants",

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.",

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year = "1997",

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T1 - On finiteness of certain Vassiliev invariants

AU - Kauffman, Louis H.

AU - Saito, Masahico

AU - Sawin, Stephen F.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - 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.

AB - 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.

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DO - 10.1142/S0218216597000182

M3 - Article

VL - 6

JO - Journal of Knot Theory and Its Ramifications

JF - Journal of Knot Theory and Its Ramifications

ER -

On finiteness of certain Vassiliev invariants

Abstract

Disciplines

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