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arXiv:math/0607794 [math.GT]AbstractReferencesReviewsResources

Mutation and the colored Jones polynomial

Alexander Stoimenow, Toshifumi Tanaka

Published 2006-07-31, updated 2008-09-24Version 3

We show examples of knots with the same polynomial invariants and hyperbolic volumes, with variously coinciding 2-cable polynomials and colored Jones polynomials, which are not mutants.

Comments: 19 pages, 10 figures, 2 tables, with an appendix by Daniel Matei; rev 26 Feb 07: theorem 1.2 and references put in; rev 24 Sep 08: some minor reorganization and few corrections, mainly in proof of Theorem 4.2
Categories: math.GT, math.QA
Subjects: 57M25, 57N70
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