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math.QA2004★ 29 cited
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…
math.QA2002
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…