29 citations · 33 across the 3 of their papers we have counts for
4 papers
Homotopy algebras and noncommutative geometry
Alastair Hamilton, Andrey Lazarev
We study cohomology theories of strongly homotopy algebras, namely and -algebras and establish the Hodge decomposition of Hochschild and cyclic cohom…
André-Quillen cohomology and rational homotopy of function spaces
Jonathan Block, Andrey Lazarev
We develop a simple theory of André-Quillen cohomology for commutative differential graded algebras over a field of characteristic zero. We then relate it to the homotopy groups of…
Cohomology theories for highly structured ring spectra
Andrey Lazarev
This is a survey paper on cohomology theories for and ring spectra. Different constructions and main properties of topological André-Quillen cohomology and of…
Hochschild cohomology and moduli spaces of strongly homotopy associative algebras
Andrey Lazarev
Motivated by ideas from stable homotopy theory we study the space of strongly homotopy associative multiplications on a two-cell chain complex. In the simplest case this moduli spa…