Tubular cluster algebras. I: Categorification

DOI10.1007/s00209-011-0905-8zbMath1271.13042arXiv0905.0028OpenAlexW2001904982MaRDI QIDQ444168

Michael Barot, Christof Geiss

Publication date: 13 August 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.0028

zbMATH Keywords

triangulationsphereelliptic root systemcoherent sheafcluster algebraweighted projective linecluster categoryrigidfinite mutation typecluster variableSchur roottubular

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items

Tubular cluster algebras. II: Exponential growth, Acyclic cluster algebras with dense \(g\)-vector fans, On finite dimensional Jacobian algebras, Quivers with potentials associated to triangulated surfaces. IV: Removing boundary assumptions., Jacobian algebras with periodic module category and exponential growth, Universal geometric coefficients for the four-punctured sphere, \(\tau^2\)-stable tilting complexes over weighted projective lines, Mutation of tilting bundles of tubular type, Tubular Jacobian algebras

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