scientific article; zbMATH DE number 1254151

zbMath0919.57019arXivmath/9803132MaRDI QIDQ4227187

Boris Tsygan, Ryszard Nest

Publication date: 11 April 1999

Full work available at URL: https://arxiv.org/abs/math/9803132

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zbMATH Keywords

Lie algebraaffine varietyFloer cohomologysmooth manifoldde Rham (Hochschild) cohomology

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) de Rham cohomology and algebraic geometry (14F40) Algebraic topology on manifolds and differential topology (57R19)

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Universal operations in Hochschild homology ⋮ Homotopy Cartan calculus and inner deformations of \(A_{\infty}\)-algebras ⋮ Noncommutative differential calculus structure on secondary Hochschild (co)homology ⋮ A noncommutative calculus on the cyclic dual of Ext ⋮ Some notes on the Feigin-Losev-Shoikhet integral conjecture ⋮ Integration over complex manifolds via Hochschild homology ⋮ The higher twisted index theorem for foliations ⋮ Hochschild cohomology of the Weyl algebra and traces in deformation quantization ⋮ Weyl n-algebras and the Kontsevich integral of the unknot ⋮ Noncommutative differential calculus on (co)homology of hom-associative algebras ⋮ Batalin-Vilkovisky algebra structures on (Co)Tor and Poisson bialgebroids. ⋮ Riemann-Roch theorems via deformation quantization. I ⋮ Riemann-Roch theorems via deformation quantization. II ⋮ The Heisenberg calculus, index theory and cyclic cohomology

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