I will talk about a 2-colored operad G^+ which, on the one hand, extends the operad G of homotopy Gerstenhaber algebras and, on the other hand, extends the 2-colored operad of open-closed homotopy algebras (OCHA). I will show that Tamarkin's G-structure on the Hochschild cochain complex C(A) of an A-infinity algebra A extends naturally to a G^+ structure on the pair (C(A), A). I will show that a formality quasi-isomorphism for the Hochschild cochains of the polynomial algebra can be obtained via transfer of this G^+ structure to the cohomology of the pair (C(A), A). Finally, I will discuss a link between the operad G^+ and Voronov's Swiss Cheese operad.
Deformation Theory Seminar
Wednesday, September 15, 2010 - 1:00pm
Vasily Dolgushev
Temple U