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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…
math.AG1999
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…