A Comparison of Leibniz and Cyclic Homologies

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We 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.
14 pages

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K-Theory and Homology, Algebraic Topology, 19D55; 17B66; 17A32

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http://salesiana.dossiersoluciones.com/handle/123456789/75722

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507165
 http://arxiv.org/abs/math/0507165

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arXiv