A symmetric version of Kontsevich graph complex and Leibniz homology
Quantum Algebra
2008-04-15 v1
Abstract
Kontsevich has proven that the Lie homology of the Lie algebra of symplectic vector fields can be computed in terms of the homology of a graph complex. We prove that the Leibniz homology of this Lie algebra can be computed in terms of the homology of a variant of the graph complex endowed with an action of the symmetric groups. The resulting isomorphism is shown to be a Zinbiel-associative bialgebra isomorphism.
Keywords
Cite
@article{arxiv.0804.2052,
title = {A symmetric version of Kontsevich graph complex and Leibniz homology},
author = {Emily Burgunder},
journal= {arXiv preprint arXiv:0804.2052},
year = {2008}
}