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OCHA and Leibniz Pairs, towards a Koszul duality

Published 19 Apr 2011 in math.RA, math.AT, and math.QA | (1104.3607v2)

Abstract: In this paper we study the homology of 2 versions of the swiss-cheese operad. We prove that the zeroth homology of these two versions are Koszul operads and relate this to strong homotopy Lebiniz pairs and OCHA, defined by Kajiura and Stasheff.

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