THE SPREAD AND EXTREME TERMS OF JONES POLYNOMIALS-Reference-Cited by-同舟云学术

THE SPREAD AND EXTREME TERMS OF JONES POLYNOMIALS

Published:2003-05 Issue:03 Volume:12 Page:359-373
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

BAE YONGJU¹,MORTON HUGH R.²

Affiliation:

1. Department of Mathematics, College of Natural Sciences, Kyungpook National University, Taegu, 702-701, Korea

2. Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 3BX, England

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216503002512

Reference5 articles.

1. S. V. Chmutov, S. V. Duzhin and S. K. Lando, Singularities and bifurcations, Adv. Soviet Math. 21 (Amer. Math. Soc., Providence, RI, 1994) pp. 127–134.

2. State models and the jones polynomial

3. Some links with non-trivial polynomials and their crossing-numbers

4. An upper bound for the breadth of the Jones polynomial

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