Moduli spaces of Hom-Lie algebroid connections

Abstract

We have studied irreducible Hom-Lie algebroid connections for Hom-bundle and prove that the H-gauge theoretic moduli space has a Hausdorff Hilbert manifold structure. This work generalizes some known results about simple semi-connections and Lie algebroid connections for complex vector bundles on compact complex manifold.

This is first draft, any comments are most welcome. 21 pages