The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras

DOI10.4171/JNCG/11-1-4zbMath1453.16010arXiv1504.02885OpenAlexW2963508744MaRDI QIDQ528835

Alimjon Eshmatov, Farkhod Eshmatov, Song Yang, Xiaojun Chen

Publication date: 16 May 2017

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02885

zbMATH Keywords

cyclic homologyCalabi-Yau algebranoncommutative Poisson structure

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Differential graded algebras and applications (associative algebraic aspects) (16E45) Quadratic and Koszul algebras (16S37) Coalgebras and comodules; corings (16T15)

Related Items (8)

Around Van den Bergh’s double brackets for different bimodule structures ⋮ Dual Hodge decompositions and derived Poisson brackets ⋮ Calabi-Yau algebras and the shifted noncommutative symplectic structure ⋮ Poisson structures on finitary incidence algebras ⋮ Derived invariance of Crawley-Boevey’s H0-Poisson structure ⋮ Hodge decomposition of string topology ⋮ Protoperads II: Koszul duality ⋮ Distributive laws between the Three Graces

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