Moduli spaces of Lie algebroid connections

Libor Křižka

Address: Mathematical Institute of Charles University


Abstract: We shall prove that the moduli space of irreducible Lie algebroid connections over a connected compact manifold has a natural structure of a locally Hausdorff Hilbert manifold. This generalizes some known results for the moduli space of simple semi-connections on a complex vector bundle over a compact complex manifold.

AMSclassification: primary 32G13.

Keywords: moduli space, connection, Lie algebroid.