Wednesday, July 27, 2005

[math/0507542] A new kind of index theorem

[math/0507542] A new kind of index theorem

This is Ron Douglas' talk at the Kaminker retirement conference.

Monday, July 18, 2005

Monday, July 11, 2005

A Comparison of Leibniz and Cyclic Homologies

Authors: Jerry Lodder
Comments: 14 pages
Subj-class: K-Theory and Homology; Algebraic Topology
MSC-class: 19D55; 17B66; 17A32

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.

Friday, July 08, 2005

Geometry of K\"ahler Metrics and Foliations by Holomorphic Discs

I've always been interested in holomorphic foliations...