Noncommutative calculus and the Gauss-Manin connection

zbMath1247.18005arXiv0902.2202MaRDI QIDQ2997016

B. L. Tsygan, Vasiliy A. Dolgushev, Dmitry E. Tamarkin

Publication date: 6 May 2011

Full work available at URL: https://arxiv.org/abs/0902.2202

zbMATH Keywords

cyclic homologyHochschild homologyconnectionsoperadhomotopy algebrasbrace algebranoncommutative differential calculus

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55)

Related Items (9)

Mackey Profunctors ⋮ Homotopy Cartan calculus and inner deformations of \(A_{\infty}\)-algebras ⋮ A noncommutative calculus on the cyclic dual of Ext ⋮ A note on the differential calculus of Hochschild theory for \(A_\infty\)-algebras ⋮ The character map in deformation quantization ⋮ When can a formality quasi-isomorphism over \(\mathbb{Q}\) be constructed recursively? ⋮ Free products, cyclic homology, and the Gauss-Manin connection ⋮ Non-commutative Hodge structures: Towards matching categorical and geometric examples ⋮ Chern characters, equivariant traces and derived algebraic geometry

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