A diagrammatic approach for determining the braid index of alternating links

DOI10.1142/S0218216521500358zbMath1472.57003arXiv1901.09778OpenAlexW3168272348MaRDI QIDQ5003405

Gábor Hetyei, Yuanan Diao, Claus Ernst, Pengyu Liu

Publication date: 22 July 2021

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

Full work available at URL: https://arxiv.org/abs/1901.09778

zbMATH Keywords

knotslinksbraid indexMontesinos linkalternatingSeifert graphMorton-Frank-Williams inequality

Mathematics Subject Classification ID

Knot polynomials (57K14) Knot theory (57K10)

Related Items

Knots with equal bridge index and braid index ⋮ Almost all 2-bridge knots are curly ⋮ Braid index bounds ropelength from below ⋮ The number of oriented rational links with a given deficiency number ⋮ Families of curly knots

Cites Work

• Seifert graphs and the braid index of classical and singular links
• Embedded annuli and Jones' conjecture
• A formula for the braid index of links
• Hecke algebra representations of braid groups and link polynomials
• The minimal number of Seifert circles equals the braid index of a link
• Studying links via closed braids. III: Classifying links which are closed 3-braids
• Knots.
• Seifert circles, braid index and the algebraic crossing number
• Bypasses for rectangular diagrams. A proof of the Jones conjecture and related questions
• On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks
• A new polynomial invariant of knots and links
• Seifert circles and knot polynomials
• The 2-variable polynomial of cable knots
• Conway Algebras and Skein Equivalence of Links
• Braids and the Jones Polynomial
• On the Braid Index of Alternating Links
• An index of a graph with applications to knot theory
• POSITIVE ALTERNATING LINKS ARE POSITIVELY ALTERNATING
• Homogeneous Links
• The braid index of reduced alternating links
• Invariants of Rational Links Represented by Reduced Alternating Diagrams
• Circuit Partitions and the Homfly Polynomial of Closed Braids
• On a Certain Numerical Invariant of Link Types

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