A Comparison of Leibniz and Cyclic Homologies

Details A Comparison of Leibniz and Cyclic Homologies A Comparison of Leibniz and Cyclic Homologies

2005-07-07

arxiv.org/abs/math/0507165v2

Mathematics

K-Theory and Homology

14 pages

Scientific paper

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.

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