Joseph Chuang, Andrey Lazarev, L-infinity maps and twistings, arxiv/0912.1215; Abstract Hodge decomposition and minimal models for cyclic algebras, arxiv./0810.2393, Feynman diagrams and minimal models for operadic algebras, arxiv/0802.3507, Dual Feynman transform for modular operads, arxiv/0704.2561

Alastair Hamilton, Andrey Lazarev, Characteristic classes of $A_\infty$-algebras, arxiv/0801.0904; Symplectic $A_\infty$-algebras and string topology operations, Amer. Math. Soc. Transl. (2), Vol. 224, 2008, 147–157, arxiv/0707.4003; Symplectic $C_\infty$-algebras, Mosc. Math. J. 8 (2008), no. 3, 443–475, 615, arxiv/0707.3951; Cohomology theories for homotopy algebras and noncommutative geometry, Algebr. Geom. Topol. 9 (2009), 1503–1583, arxiv/0707.3937; Graph cohomology classes in the Batalin-Vilkovisky formalism, J.Geom.Phys. 59:555-575, 2009, arxiv/0701825; Characteristic classes of A-infinity algebras, math.QA/0608395

Andrey Lazarev, The Stasheff model of a simply-connected manifold and the string bracket, math.AT/0512596

A. Lazarev, A. A. Voronov, Graph homology: Koszul and Verdier duality, math.QA/0702313