Quotients of the Gordian and H(2)-Gordian graphs

DOI10.1142/S0218216521500371zbMath1470.57009arXiv2102.05243OpenAlexW3178018626MaRDI QIDQ5003408

Christopher Flippen, Allison H. Moore, Essak Seddiq

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/2102.05243

zbMATH Keywords

knotslinksJones polynomialknot invariantsGromov hyperbolicityGordian graph

Mathematics Subject Classification ID

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

Uses Software

• KnotInfo

Cites Work

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• A polynomial invariant for knots via von Neumann algebras
• THE GORDIAN COMPLEX OF KNOTS
• Neighbors of Knots in the Gordian Graph
• The H(n)-Gordian complex of knots
• Symmetric quotients of knot groups and a filtration of the Gordian graph
• A bridge between Conway–Coxeter friezes and rational tangles through the Kauffman bracket polynomials
• Unoriented band surgery on knots and links
• A note on the Gordian complexes of some local moves on knots
• Local moves and restrictions on the Jones polynomial
• Braids and Signatures

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