The spread and extreme terms of Jones polynomials

Yongju Bae; Hugh R. Morton

doi:10.1142/S0218216503002512

The spread and extreme terms of Jones polynomials

Yongju Bae, Hugh R. Morton

University of Liverpool

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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.

Original language	English
Pages (from-to)	359-373
Number of pages	15
Journal	Journal of Knot Theory and its Ramifications
Volume	12
Issue number	3
DOIs	https://doi.org/10.1142/S0218216503002512
State	Published - May 2003

Keywords

Alternating tangle decomposition
Bracket polynomial
Extreme terms
Intersection graph

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10.1142/S0218216503002512

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title = "The spread and extreme terms of Jones polynomials",

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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KW - Alternating tangle decomposition

KW - Bracket polynomial

KW - Extreme terms

KW - Intersection graph

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The spread and extreme terms of Jones polynomials

Abstract

Keywords

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