Decorated marked surfaces (part B): topological realizations

DOI10.1007/s00209-017-1876-1zbMath1442.16017OpenAlexW2602636696MaRDI QIDQ1706075

Yu Qiu

Publication date: 21 March 2018

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

Full work available at URL: https://doi.org/10.1007/s00209-017-1876-1

zbMATH Keywords

cluster categoriesCalabi-Yau categoriesspherical twistsquivers with potentialsilting objects

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items (6)

Decorated Marked Surfaces III: The Derived Category of a Decorated Marked Surface ⋮ A geometric model for the module category of a skew-gentle algebra ⋮ Cluster exchange groupoids and framed quadratic differentials ⋮ Decorated marked surfaces II: Intersection numbers and dimensions of Homs ⋮ The braid group for a quiver with superpotential ⋮ Ginzburg algebras of triangulated surfaces and perverse schobers

Cites Work

• Decorated marked surfaces: spherical twists versus braid twists
• Stability conditions and quantum dilogarithm identities for Dynkin quivers
• On the cluster category of a marked surface without punctures.
• Cluster categories for algebras of global dimension 2 and quivers with potential.
• Exchange graphs and Ext quivers
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Tagged mapping class groups: Auslander-Reiten translation
• Quadratic differentials as stability conditions
• Cluster algebras and derived categories
• Quivers with potentials associated to triangulated surfaces

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