Knot theory and cluster algebras

DOI10.1016/j.aim.2022.108609OpenAlexW3208758944WikidataQ114211429 ScholiaQ114211429MaRDI QIDQ2675127

Ralf Schiffler, Véronique Bazier-Matte

Publication date: 20 September 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.14740

zbMATH Keywords

knotAlexander polynomialcluster algebraJacobian algebraquiver with potentialKauffman state

Mathematics Subject Classification ID

Cluster algebras (13F60) Knot theory (57K10)

Related Items (1)

A \(q\)-analog of the Markoff injectivity conjecture holds

Cites Work

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• Knoten mit zwei Brücken
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• -DEFORMED RATIONALS AND -CONTINUED FRACTIONS
• Cluster Algebras from Surfaces
• A twisted dimer model for knots
• Quivers with relations arising from clusters (𝐴_{𝑛} case)
• On a rank-unimodality conjecture of Morier-Genoud and Ovsienko

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