33 citations · 89 across the 12 of their papers we have counts for
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math.QA2006★ 7 cited
The Van den Bergh duality and the modular symmetry of a Poisson variety
Vasiliy Dolgushev
We consider a smooth Poisson affine variety with the trivial canonical bundle over complex numbers. For such a variety the deformation quantization algebra A_h enjoys the condition…
math.KT2006
Formality theorem for Hochschild (co)chains of the algebra of endomorphisms of a vector bundle
Vasiliy Dolgushev
We prove the formality theorem for the differential graded Lie algebra module of Hochschild chains for the algebra of endomorphisms of a smooth vector bundle. We discuss a possible…
math.KT2006
The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal
Vasiliy Dolgushev, Dmitry Tamarkin, Boris Tsygan
The solution of Deligne's conjecture on Hochschild cochains and the formality of the operad of little disks provide us with a natural homotopy Gerstenhaber algebra structure on the…