THE SPREAD AND EXTREME TERMS OF JONES POLYNOMIALS

DOI10.1142/S0218216503002512zbMath1064.57010arXivmath/0012089OpenAlexW2963591774MaRDI QIDQ4474493

Hugh R. Morton, Yongju Bae

Publication date: 12 July 2004

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0012089

zbMATH Keywords

intersection graphbracket polynomialextreme termsalternating tangle decomposition

Mathematics Subject Classification ID

Related Items (12)

Infinite families of hyperbolic prime knots with alternation number 1 and dealternating number n ⋮ NONALTERNATING KNOTS AND JONES POLYNOMIALS ⋮ Extremal Khovanov homology of Turaev genus one links ⋮ The Jones polynomial and graphs on surfaces ⋮ ALTERNATING SUM FORMULAE FOR THE DETERMINANT AND OTHER LINK INVARIANTS ⋮ Homotopy type of circle graph complexes motivated by extreme Khovanov homology ⋮ A GEOMETRIC CHARACTERIZATION OF THE UPPER BOUND FOR THE SPAN OF THE JONES POLYNOMIAL ⋮ Coefficients and non-triviality of the Jones polynomial ⋮ The Turaev genus of an adequate knot ⋮ ON EXTREME COEFFICIENTS OF THE JONES–KAUFFMAN POLYNOMIAL FOR VIRTUAL LINKS ⋮ Heegaard diagrams corresponding to Turaev surfaces ⋮ Span of the Jones polynomials of certain v-adequate virtual links

Cites Work

• State models and the Jones polynomial
• Some links with non-trivial polynomials and their crossing-numbers
• An upper bound for the breadth of the Jones polynomial

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