Moduli spaces of flat Lie algebroid connections

Details Moduli spaces of flat Lie algebroid connections Moduli spaces of flat Lie algebroid connections

2010-12-14

arxiv.org/abs/1012.3180v1

Mathematics

Differential Geometry

Scientific paper

We shall prove that a moduli space of flat irreducible Lie algebroid
connections over a compact manifold has locally a natural structure of a smooth
differentiable space. This is a generalization of some well known results for
the moduli space of holomorphic structures on a complex vector bundle over a
compact complex manifold.

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