Transitive Lie algebroids - categorical point of view

Abstract

The intention of this article is to make an attempt of classification of transitive Lie algebroids and on this basis to construct a classifying space. The realization of the intention allows to describe characteristic classes of transitive Lie algebroids form the point of view a natural transformation of functors similar to the classical abstract characteristic classes for vector bundles.

6 pages

Cited by in corpus (2)

• Comparison of categorical characteristic classes of transitive Lie algebroid with Chern-Weil homomorphism
• Sullivan constructions for transitive Lie algebroids - smooth case