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Mutants and SU(3)q invariants

Hugh R Morton and Hayley J Ryder

Geometry & Topology Monographs 1 (1998) 365–381

DOI: 10.2140/gtm.1998.1.365

arXiv: math.GT/9810197

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

Mathematical Subject Classification

Primary: 57M25

Secondary: 17B37, 22E47

References
Publication

Received: 2 September 1997
Published: 27 October 1998

Authors
Hugh R Morton
Department of Mathematical Sciences
University of Liverpool
Liverpool L69 3BX
England
Hayley J Ryder
Department of Mathematical Sciences
University of Liverpool
Liverpool L69 3BX
England