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Deformation Theory Seminar

Wednesday, April 15, 2009 - 2:00pm

Eduardo Hoefel

UFPR, Curitiba, Brazil

Location

University of Pennsylvania

DRL 4N30

Eduardo will be here April 13-17. He did part of his doctoral work here at Penn.

We will show that the OCHA operad is a resolution of the suboperad of top dimensional homology classes of the swiss-cheese operad. However, the resolution is not a "resolution of operads" but only a "resolution of modules over the L_\infty operad". The OCHA operad appears naturally in the first row of the E1 term of a Spectral Sequence. That Spectral Sequence does not collapse at E2 in general, nonetheless the resolution can be obtained by restricting attention to its first row.