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)
Full text not currently available from Enlighten.
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 |
University Staff: Request a correction | Enlighten Editors: Update this record