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arxiv: 0710.3546 · v5 · submitted 2007-10-18 · 🧮 math.QA · math.AT

OCHA and the swiss-cheese operad

classification 🧮 math.QA math.AT
keywords operadochaswiss-cheeserelationalgebrasanalogousclassesdiscs
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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.

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