Geodesic
Regular Connections on Principal Fiber Bundles over the Infinitesimal Punctured Disc
Journal of Lie theory, Tome 17 (2007) no. 2, pp. 427-448

Voir la notice de l'article provenant de la source Heldermann Verlag

This paper concerns regular connections on trivial algebraic G-principal fiber bundles over the infinitesimal punctured disc, where G is a connected reductive linear algebraic group over an algebraically closed field of characteristic zero. We show that the pull-back of every regular connection to an appropriate covering of the infinitesimal punctured disc is gauge equivalent to a connection of the form X z-1dz for some X in the Lie algebra of G. We may even arrange that the only rational eigenvalue of ad X is zero. Our results allow a classification of regular SLn-connections up to gauge equivalence.
Classification : 34A99, 20G15
Mots-clés : Regular connection, principal fiber bundles, infinitesimal punctured disc 
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     author = {O. M. Schn�rer },
     title = {Regular {Connections} on {Principal} {Fiber} {Bundles} over the {Infinitesimal} {Punctured} {Disc}},
     journal = {Journal of Lie theory},
     pages = {427--448},
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O. M. Schn�rer . Regular Connections on Principal Fiber Bundles over the Infinitesimal Punctured Disc. Journal of Lie theory, Tome 17 (2007) no. 2, pp. 427-448. http://geodesic.mathdoc.fr/item/JLT_2007_17_2_JLT_2007_17_2_a10/