### A Comparison of Leibniz and Cyclic Homologies, by Jerry M. Lodder

We relate Leibniz homology to cyclic homology by studying a map from a
long exact sequence in the Leibniz theory to the ISB exact 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.

Jerry M. Lodder <jlodder@NMSU.Edu>