English

The spread and extreme terms of Jones polynomials

Geometric Topology 2007-05-23 v2

Abstract

We adapt Thistlethwaite's alternating tangle decomposition of a knot diagram to identify the potential extreme terms in its bracket polynomial, and give a simple combinatorial calculation for their coefficients, based on the intersection graph of certain chord diagrams.

Keywords

Cite

@article{arxiv.math/0012089,
  title  = {The spread and extreme terms of Jones polynomials},
  author = {Yongju Bae and H. R. Morton},
  journal= {arXiv preprint arXiv:math/0012089},
  year   = {2007}
}

Comments

17 pages, 12 figures and 2 tables. The presentation has been substantially revised to cover the most general type of alternating decomposition. Diagrams with disconnected non-alternating skeleton were overlooked in the original paper