Regular Connections on Principal Fiber Bundles over the Infinitesimal Punctured Disc

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dc.creatorSchnürer, Olaf M.
dc.date2006-10-09
dc.date.accessioned2026-07-07T07:28:50Z
dc.date.available2026-07-07T07:28:50Z
dc.descriptionThis 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^{-1}dz 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 SL_n-connections up to gauge equivalence.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0610250
dc.identifierhttp://arxiv.org/abs/math/0610250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117877
dc.subjectRepresentation Theory
dc.subject34A99; 20G15
dc.titleRegular Connections on Principal Fiber Bundles over the Infinitesimal Punctured Disc
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