Nonalternating knots and Jones polynomials

Details Nonalternating knots and Jones polynomials Nonalternating knots and Jones polynomials

2006-09-21

arxiv.org/abs/math/0609584v2

J. Knot Theory Ramifications 17(8) (2008) 983-1003

Mathematics

Geometric Topology

23 pages, 17 figures V2: Corrected a few definitions, fixed references, and changed style

Scientific paper

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.

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