Moduli spaces of Lie algebroid connections
Archivum mathematicum, Tome 44 (2008) no. 5, pp. 403-418.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 32G13
Keywords: moduli space; connection; Lie algebroid
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     author = {K\v{r}i\v{z}ka, Libor},
     title = {Moduli spaces of {Lie} algebroid connections},
     journal = {Archivum mathematicum},
     pages = {403--418},
     publisher = {mathdoc},
     volume = {44},
     number = {5},
     year = {2008},
     mrnumber = {2501576},
     zbl = {1212.32009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2008__44_5_a6/}
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Křižka, Libor. Moduli spaces of Lie algebroid connections. Archivum mathematicum, Tome 44 (2008) no. 5, pp. 403-418. http://geodesic.mathdoc.fr/item/ARM_2008__44_5_a6/