Any tangle extends to non-mutant knots with the same jones polynomial

Watson, L. (2006) Any tangle extends to non-mutant knots with the same jones polynomial. Journal of Knot Theory and Its Ramifications, 15(09), pp. 1153-1162. (doi: 10.1142/S0218216506005007)

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Abstract

We show that an arbitrary tangle T can be extended to produce diagrams of two distinct knots that cannot be distinguished by the Jones polynomial. When T is a prime tangle, the resulting knots are prime. It is also shown that, in either case, the resulting pair are not mutants.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Watson, Professor Liam
Authors: Watson, L.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Knot Theory and Its Ramifications
ISSN:0218-2165
ISSN (Online):1793-6527

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