Multi-crossing number for knots and the Kauffman bracket polynomial

DOI10.1017/S0305004116000906zbMath1405.57009arXiv1407.4485OpenAlexW2963339348MaRDI QIDQ4600757

Orsola Capovilla-Searle, Samantha Petti, Jesse Freeman, Ashley Weber, Colin C. Adams, Daniel Irvine, Sicong Zhang, Daniel Vitek

Publication date: 12 January 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4485

zbMATH Keywords

knotsbracket polynomialskein relationmulti-crossing number

Mathematics Subject Classification ID

Related Items (7)

A new bound on odd multicrossing numbers of knots and links ⋮ Strict inequalities for the n-crossing number ⋮ Virtual multicrossings and petal diagrams for virtual knots and links ⋮ Tabulation of knots up to five triple-crossings and moves between oriented diagrams ⋮ Triple-crossing projections, moves on knots and links and their minimal diagrams ⋮ Triple-crossing number, the genus of a knot or link and torus knots ⋮ Triple-crossing number and moves on triple-crossing link diagrams

Cites Work

• Degenerate crossing numbers
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• Triple crossing numbers of graphs
• New Invariants in the Theory of Knots
• TRIPLE CROSSING NUMBER OF KNOTS AND LINKS
• Bounds on übercrossing and petal numbers for knots
• Knot projections with a single multi-crossing
• Quadruple crossing number of knots and links

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