#### Volume 1 (1998)

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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
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Details of quantum knot invariant calculations using a specific $SU{\left(3\right)}_{q}$–module are given which distinguish the Conway and Kinoshita–Teresaka pair of mutant knots. Features of Kuperberg’s skein-theoretic techniques for $SU{\left(3\right)}_{q}$ 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