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math.QA2000
Tamarkin's proof of Kontsevich formality theorem
Vladimir Hinich
In 1998 D. Tamarkin announced a proof of Kontsevich formality theorem based on the existence of structure of homotopy Gerstenhaber algebra in the Hochschild cochains of an associat…
math.QA1999
Virtual operad algebras and realization of homotopy types
Vladimir Hinich
We prove that the category of algebras over a cofibrant operad admits a closed model category structure. This leads to the notion of "virtual operad algebra" - the algebra over a c…