THE COLORED JONES FUNCTION


MELVIN, PM and MORTON, HR ORCID: 0000-0002-8524-2695 (1995) THE COLORED JONES FUNCTION. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 169 (3). pp. 501-520.

This is the latest version of this item.

[img] Text
MelvinMorton.pdf - Author Accepted Manuscript
Download (775kB)
[img] Text
MortonMelvin.pdf - Author Accepted Manuscript
Download (779kB)

Abstract

The invariants JK,k of a framed knot K coloured by the irreducible SU(2)q-module of dimension k are studied as a function of k by means of the universal R-matrix. It is shown that when JK,k is written as a power series in h with q=eh, the coefficient of hd is an odd polynomial in k of degree at most 2 d+1. This coefficient is a Vassiliev invariant of K. In the second part of the paper it is shown that as k varies, these invariants span a d-dimensional subspace of the space of all Vassiliev invariants of degree d for framed knots. The analogous questions for unframed knots are also studied. © 1995 Springer-Verlag.

Item Type: Article
Additional Information: ## TULIP Type: Articles/Papers (Journal) ## official_url: <Go to ISI>://A1995QY58100003
Depositing User: Symplectic Admin
Date Deposited: 23 Jan 2017 10:08
Last Modified: 19 Jan 2023 07:20
DOI: 10.1007/BF02099310
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3005309

Available Versions of this Item

Dimensions
Altmetric
CORE (COnnecting REpositories)