4 papers
A Comparison of Leibniz and Cyclic Homologies
Jerry Lodder
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…
Leibniz Homology, Characteristic Classes and K-theory
Jerry Lodder
In this paper we identify many striking elements in Leibniz (co)homology which arise from characteristic classes and K-theory. For a group G a field k of characteristic zero, it is…
Rigidity of Secondary Characteristic Classes
Jerry Lodder
In this paper we study the variability and rigidity of secondary characteristic classes which arise from flat connections on a manifold. Considering the connection as a Lie-algebra…
Leibniz Cohomology and the Calculus of Variations
Jerry Lodder
In this paper we continue the investigation of Loday's Leibniz cohomology as a new invariant for differentiable manifolds. In particular the Leibniz coboundary of a k-tensor (in th…