A symmetric version of Kontsevich graph complex and Leibniz homology

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dc.creatorBurgunder, Emily
dc.date2008-04-13
dc.date.accessioned2026-07-07T09:32:10Z
dc.date.available2026-07-07T09:32:10Z
dc.descriptionKontsevich 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.
dc.identifierhttps://arxiv.org/abs/0804.2052
dc.identifierhttp://arxiv.org/abs/0804.2052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158715
dc.subjectQuantum Algebra
dc.subject16E40, 16W22, 05C90
dc.titleA symmetric version of Kontsevich graph complex and Leibniz homology
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