OCHA and Leibniz Pairs, towards a Koszul duality

Details OCHA and Leibniz Pairs, towards a Koszul duality OCHA and Leibniz Pairs, towards a Koszul duality

2011-04-19

arxiv.org/abs/1104.3607v2

Lett Math Phys (2012)

Mathematics

Rings and Algebras

33 pages, 3 figures, published in LMP under the title: "Open-Closed Homotopy Algebras and Strong Homotopy Leibniz Pairs Throug

Scientific paper

10.1007/s11005-012-0556-7

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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