Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras
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Publication:5265145
DOI10.1090/conm/583/11570zbMath1316.17015arXiv1202.2717OpenAlexW1644828886MaRDI QIDQ5265145
Farkhod Eshmatov, Xiaojun Chen, Yuri Yu. Berest, Ajay C. Ramadoss
Publication date: 22 July 2015
Published in: Mathematical Aspects of Quantization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.2717
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Dual Hodge decompositions and derived Poisson brackets ⋮ On double Poisson structures on commutative algebras ⋮ Calabi-Yau algebras and the shifted noncommutative symplectic structure ⋮ Noncommutative Poisson vertex algebras and Courant-Dorfman algebras ⋮ A double Poisson algebra structure on Fukaya categories ⋮ Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology ⋮ Derived representation schemes and cyclic homology ⋮ Derived invariance of Crawley-Boevey’s H0-Poisson structure ⋮ The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras ⋮ Protoperads i: Combinatorics and definitions ⋮ Hodge decomposition of string topology ⋮ Protoperads II: Koszul duality ⋮ Differential calculus over double Lie algebroids
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