Geometry & Topology Monographs 1 (1998), The Epstein Birthday Schrift, paper no. 18, pages 365-381.

Mutants and SU(3)_q invariants

H R Morton and H J Ryder

Abstract. Details of quantum knot invariant calculations using a specific SU(3)_q-module are given which distinguish the Conway and Kinoshita-Teresaka pair of mutant knots. Features of Kuperberg's skein-theoretic techniques for SU(3)_q invariants in the context of mutant knots are also discussed.

Keywords. Mutants, Vassiliev invariants, SU(3)_q

AMS subject classification. Primary: 57M25. Secondary: 17B37, 22E47.

E-print: arXiv:math.GT/9810197

Submitted: 2 September 1997. Published: 27 October 1998.

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H R Morton and H J Ryder
Department of Mathematical Sciences, University of Liverpool
Liverpool L69 3BX, England
Email: h.r.morton@liv.ac.uk

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