Geometric model for module categories of Dynkin quivers via hearts of total stability conditions

DOI10.1016/j.jalgebra.2023.09.020arXiv2208.00073MaRDI QIDQ6066471

Xiaoting Zhang, Yu Qiu, Wen Chang

Publication date: 16 November 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.00073

zbMATH Keywords

derived categorymodule categoryDynkin diagramReineke's conjecturetotal stability condition

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60) Derived categories, triangulated categories (18G80)

Cites Work

• Stability conditions and quantum dilogarithm identities for Dynkin quivers
• Flat surfaces and stability structures
• Exchange graphs and Ext quivers
• Stability for an abelian category
• The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli
• Total stability functions for type \(\mathbb{A}\) quivers
• Stability conditions for affine type A
• Serre dimension and stability conditions
• Stability conditions on triangulated categories
• Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• A Geometric Model for the Module Category of a Gentle Algebra
• Stability and indecomposability of the representations of quivers of A_n-type
• On cluster theory and quantum dilogarithm identities
• A geometric model for the module category of a skew-gentle algebra
• On total stability conditions for Dynkin quivers

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