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arXiv:math/0609584 [math.GT]AbstractReferencesReviewsResources

Nonalternating knots and Jones polynomials

Neil R. Nicholson

Published 2006-09-21, updated 2006-11-01Version 2

Although most knots are nonalternating, modern research in knot theory seems to focus on alternating knots. We consider here nonalternating knots and their properties. Specifically, we show certain classes of knots have nontrivial Jones polynomials.

Comments: 23 pages, 17 figures V2: Corrected a few definitions, fixed references, and changed style
Journal: J. Knot Theory Ramifications 17(8) (2008) 983-1003
Categories: math.GT
Subjects: 57M27, 57M25
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