Universal knot diagrams

DOI10.1142/S0218216519500317zbMath1440.57002arXiv1804.09860OpenAlexW3102870198MaRDI QIDQ5223017

Nathan Linial, Joel Hass, Tahl Nowik, Chaim Even-Zohar

Publication date: 4 July 2019

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

Full work available at URL: https://arxiv.org/abs/1804.09860

zbMATH Keywords

meanderone-pure braidspotholder

Mathematics Subject Classification ID

Knot theory (57K10)

Related Items

Regular projections of the link L6n1 ⋮ Random colorings in manifolds ⋮ On an alternative stratification of knots ⋮ Semimeander crossing number of knots and related invariants ⋮ Meander diagrams of knots and spatial graphs: proofs of generalized Jablan-Radović conjectures ⋮ diagram-sampler

Uses Software

• SnapPy
• GitHub
• MathOverflow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariants of random knots and links
• Random knots using Chebyshev billiard table diagrams
• Waist and trunk of knots
• Asymptotics of the colored Jones function of a knot
• Complementary regions of knot and link diagrams
• Arkadenfadendarstellung von Knoten und eine neue Darstellung der Knotengruppe
• A new knot invariant
• On Tit's conjecture and other questions concerning Artin and generalized Artin groups
• A partial order of knots
• Relations among the squares of the generators of the braid group
• There are infinitely many Lissajous knots
• The distribution of knots in the Petaluma model
• Models of random knots
• Computational geometric and algebraic topology. Abstracts from the workshop held October 11--17, 2015
• Meander diagrams of knots and spatial graphs: proofs of generalized Jablan-Radović conjectures
• Theory of braids
• How to pick a random integer matrix? (and other questions)
• Lissajous and Fourier knots
• Meanders, knots, labyrinths and mazes
• MINIMAL UNKNOTTING SEQUENCES OF REIDEMEISTER MOVES CONTAINING UNMATCHED RII MOVES
• Geometrically and diagrammatically maximal knots
• Volume and determinant densities of hyperbolic rational links
• CHEBYSHEV KNOTS
• Sampling Lissajous and Fourier Knots
• A Separator Theorem for Planar Graphs
• Algebraic invariants of knots and disordered Potts model
• LISSAJOUS KNOTS
• RANDOM KNOTS AND ENERGY: ELEMENTARY CONSIDERATIONS
• Bridge spectra of cables of 2-bridge knots
• Statistics of knots and entangled random walks
• Folding and coloring problems in mathematics and physics
• Bounds on übercrossing and petal numbers for knots
• Knot projections with a single multi-crossing
• Meander knots and links