Derived bracket construction up to homotopy and Schroder numbers
arXiv:1202.0095
Abstract
We will introduce the notion of higher derived bracket construction in the category of operads and prove that the higher derived bracket construction of Lie operad is equivalent to the cobar construction of Leibniz operad. The theorem is proved by computing Schroder number.
Version 9, page 20, three figs, one table