Quadruple crossing number of knots and links

DOI10.1017/S0305004113000649zbMath1305.57005arXiv1211.2726OpenAlexW2111397574MaRDI QIDQ5408699

Colin C. Adams

Publication date: 11 April 2014

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

Full work available at URL: https://arxiv.org/abs/1211.2726

zbMATH Keywords

crossing numberbracket polynomialquadruple crossing

Mathematics Subject Classification ID

Related Items (11)

A new bound on odd multicrossing numbers of knots and links ⋮ Arc index via the alternating tangle decomposition ⋮ Turning Knots into Flowers and Related Undergraduate Research ⋮ Strict inequalities for the n-crossing number ⋮ Virtual multicrossings and petal diagrams for virtual knots and links ⋮ Petal number of torus knots of type (r,r + 2) ⋮ Multi-crossing number for knots and the Kauffman bracket polynomial ⋮ Petal grid diagrams of torus knots ⋮ Triple-crossing number and moves on triple-crossing link diagrams ⋮ Bounds on übercrossing and petal numbers for knots ⋮ Knot projections with a single multi-crossing

Cites Work

• Degenerate crossing numbers
• A spanning tree expansion of the Jones polynomial
• Hecke algebra representations of braid groups and link polynomials
• New Invariants in the Theory of Knots
• TRIPLE CROSSING NUMBER OF KNOTS AND LINKS

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