Quivers with potentials associated to triangulated surfaces. IV: Removing boundary assumptions.

DOI10.1007/s00029-015-0188-8zbMath1342.16009arXiv1206.1798OpenAlexW1557835788MaRDI QIDQ907068

Daniel Labardini-Fragoso

Publication date: 1 February 2016

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

Full work available at URL: https://arxiv.org/abs/1206.1798

zbMATH Keywords

mutationsflipsnon-degeneracycluster algebrastriangulations of surfacesquivers with potentialsright-equivalencestagged triangulations

Mathematics Subject Classification ID

Related Items (20)

Strongly primitive species with potentials. I: Mutations ⋮ Braid groups and quiver mutation ⋮ Species with potential arising from surfaces with orbifold points of order 2. I: One choice of weights ⋮ Derived categories of skew-gentle algebras and orbifolds ⋮ On finite dimensional Jacobian algebras ⋮ Quivers with potentials for Grassmannian cluster algebras ⋮ Denominator vectors and dimension vectors from triangulated surfaces ⋮ Cluster algebras and continued fractions ⋮ Jacobian algebras with periodic module category and exponential growth ⋮ The representation type of Jacobian algebras ⋮ Ideal Webs, Moduli Spaces of Local Systems, and 3d Calabi–Yau Categories ⋮ Group actions on cluster algebras and cluster categories ⋮ Stability conditions, cluster varieties, and Riemann-Hilbert problems from surfaces ⋮ Extensions in Jacobian algebras and cluster categories of marked surfaces ⋮ The classification of \(\tau\)-tilting modules over Nakayama algebras ⋮ Derived invariants for surface cut algebras of global dimension 2 II: the punctured case ⋮ Infinite rank surface cluster algebras ⋮ Tagged mapping class groups: Auslander-Reiten translation ⋮ Quivers with potentials associated to triangulations of closed surfaces with at most two punctures ⋮ Quadratic differentials as stability conditions

Cites Work

• BPS quivers and spectra of complete \(\mathcal N =2\) quantum field theories
• Tubular cluster algebras. I: Categorification
• \(\mathcal{N}=2\) quantum field theories and their BPS quivers
• Quivers with relations and cluster tilted algebras.
• The representation type of Jacobian algebras
• Gentle algebras arising from surface triangulations.
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Quivers with potentials and their representations. I: Mutations.
• On finite dimensional Jacobian algebras
• Wall-crossing, Hitchin systems, and the WKB approximation
• Quadratic differentials as stability conditions
• A geometric model for cluster categories of type \(D_n\).
• Quivers with potentials associated to triangulated surfaces
• Tiling the Projective Foliation Space of a Punctured Surface
• Quivers with potentials associated to triangulated surfaces, Part III: tagged triangulations and cluster monomials
• CATEGORICAL TINKERTOYS FOR ${\mathcal N} = 2$ GAUGE THEORIES
• From groups to clusters
• Quivers with relations arising from clusters (𝐴_{𝑛} case)

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