Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424708 | Topology and its Applications | 2013 | 11 Pages |
â¢Functoriality and homotopy properties of the exotic characteristic homomorphism for Lie algebroids.â¢The Koszul homomorphism versus the universal exotic characteristic homomorphism.â¢Monomorphicity of the universal exotic characteristic homomorphism for a pair of integrable Lie algebroids.â¢Monomorphicity of the universal exotic characteristic homomorphism for non-integrable Lie algebroids of TC-foliations.
We examine fundamental properties of the universal exotic characteristic homomorphism in the category of Lie algebroids, introduced by the authors in Balcerzak and Kubarski (2012) [4]. The properties under study include: (a) functorial properties with respect to arbitrary morphisms of Lie algebroids, (b) homotopy properties, (c) relationships with the Koszul homomorphism for a pair of isotropy Lie algebras, (d) conditions under which the universal exotic characteristic homomorphism is a monomorphism.