Cluster algebras and Jones polynomials

DOI10.1007/s00029-019-0503-xzbMath1442.13076arXiv1710.08063OpenAlexW2975746334WikidataQ127219357 ScholiaQ127219357MaRDI QIDQ2325602

Ralf Schiffler, Kyungyong Lee

Publication date: 27 September 2019

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08063

zbMATH Keywords

continued fractionsJones polynomial2-bridge knotscluster algebrassnake graphs

Mathematics Subject Classification ID

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

Related Items (18)

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 ⋮ Quantum numbers and \(q\)-deformed Conway-Coxeter friezes ⋮ Knot theory and cluster algebras ⋮ A CATEGORIFICATION OF ACYCLIC PRINCIPAL COEFFICIENT CLUSTER ALGEBRAS ⋮ Continued fractions and orderings on the Markov numbers ⋮ q-deformed rational numbers and the 2-Calabi–Yau category of type ⋮ \(q\)-rational and \(q\)-real binomial coefficients ⋮ Quantum continuants, quantum rotundus and triangulations of annuli ⋮ Snake graphs and 70 ⋮ Lattice bijections for string modules, snake graphs and the weak Bruhat order ⋮ Cluster variables, ancestral triangles and Alexander polynomials ⋮ -DEFORMED RATIONALS AND -CONTINUED FRACTIONS ⋮ A bridge between Conway–Coxeter friezes and rational tangles through the Kauffman bracket polynomials ⋮ Cluster algebras and binary words ⋮ K-theory of Jones polynomials

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