OCHA and the swiss-cheese operad
arXiv:0710.3546
Abstract
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 of top-dimensional homology classes of the swiss-cheese operad.
26 pages; 5 figures; v4: exposition improved, inaccuracies corrected, to appear in JHRS
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