32 citations · 165 across the 24 of their papers we have counts for
9 papers · 1 filter
Rectification of algebras and modules
V. Hinich
Let O be a topological (colored) operad. The Lurie infinity-category of O-algebras with values in (infinity-category of) complexes is compared to the infinity-category underlying t…
Dwyer-Kan localization revisited
V. Hinich
A version of Dwyer-Kan localization in the context of infinity-categories and simplicial categories is presented. Some results of the classical papers by Dwyer and Kan on simplicia…
Noncommutative unfolding of hypersurface singularity
Vladimir Hinich, Dan Lemberg
A version of Kontsevich Formality theorem is proven for smooth DG algebras. As an application of this, it is proven that any quasiclassical datum of noncommutative unfolding of an…
Homotopy coherent nerve in Deformation theory
V. Hinich
In this note we explain that homotopy coherent simplicial nerve has to used intead of the standard definition in the author's papers on formal deformation theory. A convenient vers…
Drinfeld double for orbifolds
V. Hinich
We prove that the Drinfeld double of the category of sheaves on an orbifold is equivalent to the category of sheves on the corresponding inertia orbifold.
Erratum to "Homological algebra of homotopy algebras"
V. Hinich
Theorem 6.1.1 of [H.A.H.A.] on the existence of a model structure on the category of operads is not valid in the generality claimed. We present here a counter-example (due to B. Fr…