English

Nonalternating knots and Jones polynomials

Geometric Topology 2009-07-13 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0609584,
  title  = {Nonalternating knots and Jones polynomials},
  author = {Neil R. Nicholson},
  journal= {arXiv preprint arXiv:math/0609584},
  year   = {2009}
}

Comments

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