47 citations · 357 across the 42 of their papers we have counts for
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math.QA2008★ 13 cited
Abstract Hodge decomposition and minimal models for cyclic algebras
Joseph Chuang, Andrey Lazarev
We show that an algebra over a cyclic operad supplied with an additional linear algebra datum called Hodge decomposition admits a minimal model whose structure maps are given in te…
math.AT2008★ 19 cited
Feynman diagrams and minimal models for operadic algebras
Joseph Chuang, Andrey Lazarev
We construct an explicit minimal model for an algebra over the cobar-construction of a differential graded operad. The structure maps of this minimal model are expressed in terms o…
math.AT2008★ 3 cited
Characteristic classes of $\ai$-algebras
Alastair Hamilton, Andrey Lazarev
Standard combinatorial construction, due to Kontsevich, associates to any $\ai$-algebra with an invariant inner product, an inhomogeneous class in the cohomology of the moduli spac…