The spread and extreme terms of Jones polynomials

2000/12/31 by Yongju Bae, H. R. Morton · 1 citation
Mathematics · #math.GT #msc:57M25

paper · pdf

published as Journal of Knot Theory and its Ramifications, 12 (2003), 359-373. · 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

arxiv created 2001/10/10 · arxiv updated 2009/11/30

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.

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