Cluster variables, ancestral triangles and Alexander polynomials

DOI10.1016/j.aim.2019.106965zbMath1434.57010arXiv1812.02434OpenAlexW2998834464WikidataQ126379608 ScholiaQ126379608MaRDI QIDQ2295458

Yuji Terashima, Wataru Nagai

Publication date: 13 February 2020

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

Full work available at URL: https://arxiv.org/abs/1812.02434

zbMATH Keywords

Alexander polynomialknot theorycluster algebrasquiver mutation

Mathematics Subject Classification ID

Continued fractions (11A55) Cluster algebras (13F60) Knot polynomials (57K14)

Related Items (6)

Tilting modules arising from knot invariants ⋮ A characterization of Conway-Coxeter friezes of zigzag type by rational links ⋮ Cluster algebras and binary subwords ⋮ On radiuses of convergence of \(q\)-metallic numbers and related \(q\)-rational numbers ⋮ Knot theory and cluster algebras ⋮ A bridge between Conway–Coxeter friezes and rational tangles through the Kauffman bracket polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Cluster expansion formulas and perfect matchings
• Incompressible surfaces in 2-bridge knot complements
• Boundary slopes for Montesinos knots
• Cluster algebras and Jones polynomials
• Cluster algebras I: Foundations
• Cluster algebras IV: Coefficients
• Cluster algebras and continued fractions
• A bridge between Conway–Coxeter friezes and rational tangles through the Kauffman bracket polynomials

This page was built for publication: Cluster variables, ancestral triangles and Alexander polynomials