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OCHA and the swiss-cheese operad

OCHA and the swiss-cheese operad

Eduardo Hoefel

In this paper we show that the relation between Kajiura-Stasheff's OCHA and A. Voronov's swiss-cheese operad is analogous to the relation between SH Lie algebras and the little discs operad. More precisely, we show that the OCHA operad is quasi-isomorphic to the operad generated by the top-dimensional homology classes of the swiss-cheese operad.

Journal of Homotopy and Related Structures, Vol. 4(2009), No. 1, pp. 123-151