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Deformation Theory Seminar

Wednesday, December 3, 2008 - 2:00pm

Murray Gerstenhaber

U Penn

Location

University of Pennsylvania

DRL 4N30

at long last - hopefully

Having reviewed lots of non-homotopical background, Merkulov's paper will be addressed. Building on work of Stasheff, S.A. Merkulov has shown that the harmonic forms on a compact Kahler manifold M carry a natural A-infinity multiplication. (He shows that in fact there are at least two, and that if M happens to be Calabi-Yau then there is yet a third.) We will review the definitions, construction, and a sketch of the proof. Merkulov's work raises the question of when A-infinity structures arise naturally out of associative ones in more general contexts.