A Comparison of Leibniz and Cyclic Homologies

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dc.creatorLodder, Jerry
dc.date2005-07-07
dc.date2005-07-08
dc.date.accessioned2026-07-07T05:21:32Z
dc.date.available2026-07-07T05:21:32Z
dc.descriptionWe relate Leibniz homology to cyclic homology by studying a map from a long exact sequence in the Leibniz theory to the ISB periodicity sequence in the cyclic theory. This provides a setting by which the two theories can be compared via the 5-lemma. We then show that the Godbillon-Vey invariant, as detected by the Leibniz homology of formal vector fields, maps to the Godbillon-Vey invariant as detected by the cyclic homology of the universal enveloping algebra of these vector fields.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0507165
dc.identifierhttp://arxiv.org/abs/math/0507165
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75722
dc.subjectK-Theory and Homology
dc.subjectAlgebraic Topology
dc.subject19D55; 17B66; 17A32
dc.titleA Comparison of Leibniz and Cyclic Homologies
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