A Direct Computation of the Cohomology of the Braces Operad

Abstract

We give a self-contained and purely combinatorial proof of the well known fact that the cohomology of the braces operad is the operad $\mathsf{Ger}$ governing Gerstenhaber algebras.

arXiv commentThe material of this paper was originally contained in the first version of the arXiv preprint arXiv:1207.2180. This is a major revision. Many proofs were streamlined and reorganized. Some references were added. The final version will appear in Forum Mathematicum