Primary characteristic homomorphism of pairs of Lie algebroids and Mackenzie algebroid (Q2782566)

The paper is dedicated to the study of characteristic classes associated to regular Lie algebroids. At the base of the work is the concept of an \(L\)-connection in \(A\) (\(L\) and \(A\) are two Lie algebroids over the same base manifold \(B\)). A linear homomorphism \(\nabla : L \rightarrow A\) commuting with the anchors is called an \(L\)-connection in \(A\). Using these \(L\)-connections the authors define a Chern-Weil-type homomorphism and prove that the characteristic classes given by this homomorphism are independent of the choice of an \(L\)-connection. The results are supplemented with examples and explanations showing that this construction generalizes most known constructions of Pontryagin characteristic classes associated with regular Lie algebroids.NEWLINENEWLINEFor the entire collection see [Zbl 0980.00030].