Derived invariance of Crawley-Boevey’s H0-Poisson structure

DOI10.1142/S0219498821500869zbMath1486.16010MaRDI QIDQ5162793

Jieheng Zeng

Publication date: 5 November 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

derived equivalencenoncommutative differential calculus\(H_0\)-Poisson structure

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Poisson algebras (17B63) Derived categories, triangulated categories (18G80)

Cites Work

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• The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras
• Poisson structures on moduli spaces of representations
• Noncommutative geometry and quiver algebras
• Invariance and localization for cyclic homology of DG algebras
• Cyclic pairings and derived Poisson structures
• Hochschild cohomology and derived Picard groups.
• The cohomology structure of an associative ring
• Derived invariance of the Tamarkin-Tsygan calculus of an algebra
• Double Poisson algebras
• Morita Theory for Derived Categories
• Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras
• Cyclic formality and index theorem
• Non-commutative symplectic geometry, quiver varieties, and operads

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