TRIPLE CROSSING NUMBER OF KNOTS AND LINKS

DOI10.1142/S0218216513500065zbMath1270.57014arXiv1207.7332MaRDI QIDQ4922100

Colin C. Adams

Publication date: 28 May 2013

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

Full work available at URL: https://arxiv.org/abs/1207.7332

zbMATH Keywords

crossing numberbracket polynomialtriple crossingmulti-crossing

Mathematics Subject Classification ID

Related Items (25)

Petal number of torus knots using superbridge indices ⋮ The spectra of volume and determinant densities of links ⋮ Geometric knot theory. Abstracts from the workshop held April 28 -- May 4, 2013. ⋮ 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) ⋮ Biquandle arrow weight enhancements ⋮ Tabulation of knots up to five triple-crossings and moves between oriented diagrams ⋮ Geometrically and diagrammatically maximal knots ⋮ Delta-crossing number for knots ⋮ Computing a link diagram from its exterior ⋮ Triple-crossing projections, moves on knots and links and their minimal diagrams ⋮ Multi-crossing number for knots and the Kauffman bracket polynomial ⋮ Volume and determinant densities of hyperbolic rational links ⋮ Petal grid diagrams of torus knots ⋮ Triple-crossing number, the genus of a knot or link and torus knots ⋮ Triple crossing number and double crossing braid index ⋮ Quadruple crossing number of knots and links ⋮ Bipyramids and bounds on volumes of hyperbolic links ⋮ 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
• State models and the Jones polynomial
• KASHAEV'S INVARIANT AND THE VOLUME OF A HYPERBOLIC KNOT AFTER Y. YOKOTA
• New Invariants in the Theory of Knots
• The volume of hyperbolic alternating link complements
• THE COLORED JONES POLYNOMIALS OF 2-BRIDGE LINK AND HYPERBOLICITY EQUATIONS OF IT'S COMPLEMENTS

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