4 papers
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…
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…
Deformations of homotopy algebras
V. Hinich
Let be a field of characteristic zero, $\CO$ be a dg operad over and let be an $\CO$-algebra. In this note we define formal deformations of , construct the deformati…
DG coalgebras as formal stacks
V. Hinich
The category of unital (unbounded) dg cocommutative coalgebras over a field of characteristic zero is provided with a structure of simplicial closed model category. This generalize…