OCHA and Leibniz Pairs, towards a Koszul duality
Rings and Algebras
2012-03-30 v2 Algebraic Topology
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1104.3607,
title = {OCHA and Leibniz Pairs, towards a Koszul duality},
author = {Muriel Livernet and Eduardo Hoefel},
journal= {arXiv preprint arXiv:1104.3607},
year = {2012}
}
Comments
33 pages, 3 figures, published in LMP under the title: "Open-Closed Homotopy Algebras and Strong Homotopy Leibniz Pairs Through Koszul Operad Theory"