MELVIN, PM and MORTON, HR 
ORCID: 0000-0002-8524-2695
(1995)
THE COLORED JONES FUNCTION.
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 169 (3).
pp. 501-520.
ISSN 0010-3616, 1432-0916
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Abstract
The invariants J<inf>K,k</inf> of a framed knot K coloured by the irreducible SU(2)<inf>q</inf>-module of dimension k are studied as a function of k by means of the universal R-matrix. It is shown that when J<inf>K,k</inf> is written as a power series in h with q=e<sup>h</sup>, the coefficient of h<sup>d</sup> 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: | 11 Jun 2025 19:15 |
| DOI: | 10.1007/BF02099310 |
| Related Websites: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3005309 |
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The colored Jones function. (deposited 23 Sep 2016 15:46)
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