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.
@article{127126, author = {Libor K\v ri\v zka}, title = {Moduli spaces of Lie algebroid connections}, journal = {Archivum Mathematicum}, volume = {044}, year = {2008}, pages = {403-418}, zbl = {1212.32009}, mrnumber = {2501576}, language = {en}, url = {http://dml.mathdoc.fr/item/127126} }
Křižka, Libor. Moduli spaces of Lie algebroid connections. Archivum Mathematicum, Tome 044 (2008) pp. 403-418. http://gdmltest.u-ga.fr/item/127126/
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