Verification of the Jones unknot conjecture up to 22 crossings

DOI10.1142/S0218216518400096zbMath1386.57016arXiv1809.02285OpenAlexW2963204712WikidataQ123189129 ScholiaQ123189129MaRDI QIDQ4634898

Robert E. Tuzun, Adam S. Sikora

Publication date: 12 April 2018

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

Full work available at URL: https://arxiv.org/abs/1809.02285

zbMATH Keywords

Jones polynomialKauffman bracketalgebraic tangleConway polyhedronJones unknot conjecture

Mathematics Subject Classification ID

Related Items (3)

Big data approaches to knot theory: Understanding the structure of the Jones polynomial ⋮ Verification of the Jones unknot conjecture up to 24 crossings ⋮ Asymptotic laws for random knot diagrams

Uses Software

• Boost C++ Libraries
• JAS
• SnapPy
• Boost
• plantri
• GENREG

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A survey on the Turaev genus of knots
• Khovanov homology is an unknot-detector
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• Knot polynomials and generalized mutation
• The first 1,701,936 knots
• Infinite families of links with trivial Jones polynomial
• On the classification of rational tangles
• A kernel of a braid group representation yields a knot with trivial knot polynomials
• Mutation on knots and Whitney's 2-isomorphism theorem
• Generation of simple quadrangulations of the sphere
• On the Cutting Edge: Simplified O(n) Planarity by Edge Addition
• The crossing number of composite knots
• FAST KHOVANOV HOMOLOGY COMPUTATIONS
• Evaluation of a Java Computer Algebra System
• Fast generation of regular graphs and construction of cages
• Does the Jones Polynomial Detect Unknottedness?
• LINKS WITH TRIVIAL JONES POLYNOMIAL
• DOES THE JONES POLYNOMIAL DETECT THE UNKNOT?
• On the computational complexity of the Jones and Tutte polynomials
• Local moves and restrictions on the Jones polynomial

This page was built for publication: Verification of the Jones unknot conjecture up to 22 crossings