Cluster algebras and continued fractions

DOI10.1112/S0010437X17007631zbMath1437.13033arXiv1608.06568OpenAlexW2516995103MaRDI QIDQ4602852

Ilke Canakci, Ralf Schiffler

Publication date: 7 February 2018

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06568

zbMATH Keywords

continued fractionscluster algebrassnake graphs

Mathematics Subject Classification ID

Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70) Cluster algebras (13F60)

Related Items (25)

Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry ⋮ Triangulations, Order Polytopes, and Generalized Snake Posets ⋮ Cluster algebras and binary subwords ⋮ \(F\)-polynomial formula from continued fractions ⋮ Knot theory and cluster algebras ⋮ \(q\)-rationals and finite Schubert varieties ⋮ A combinatorial approach to scattering diagrams ⋮ Dyck path categories and its relationships with cluster algebras ⋮ Continued fractions and orderings on the Markov numbers ⋮ Mutation of friezes ⋮ \(q\)-rational and \(q\)-real binomial coefficients ⋮ Cluster algebras and continued fractions ⋮ A generalization of Markov numbers ⋮ Brauer configuration algebras defined by snake graphs and Kronecker modules ⋮ Unnamed Item ⋮ Snake graphs and 70 ⋮ Lattice bijections for string modules, snake graphs and the weak Bruhat order ⋮ Counting Subwords Occurrences in Base-b Expansions ⋮ Cluster variables, ancestral triangles and Alexander polynomials ⋮ An expansion formula for type \(A\) and Kronecker quantum cluster algebras ⋮ Cluster algebras and binary words ⋮ Cluster Algebras from Surfaces ⋮ Cluster algebras and Jones polynomials ⋮ On the ordering of the Markov numbers ⋮ The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond

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