Moduli spaces of Lie algebroid connections. (English) Zbl 1212.32009

Summary: We 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.


32G13 Complex-analytic moduli problems
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