English

Moduli spaces of flat Lie algebroid connections

Differential Geometry 2010-12-16 v1 Functional Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.1012.3180,
  title  = {Moduli spaces of flat Lie algebroid connections},
  author = {Libor Křižka},
  journal= {arXiv preprint arXiv:1012.3180},
  year   = {2010}
}