THE COLORED JONES FUNCTION

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

This is the latest version of this item.

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

Official URL: http://dx.doi.org/10.1007/bf02099310

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
Uncontrolled Keywords:	4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	23 Jan 2017 10:08
Last Modified:	21 Jun 2024 05:05
DOI:	10.1007/BF02099310
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3005309