(G,P)-opers and global Slodowy slices

In this paper, we introduce a generalization of G-opers for arbitrary parabolic subgroups P<G of a complex semisimple Lie group. For parabolic subgroups associated to “even nilpotents”, we parameterize (G,P)-opers by an object generalizing the base of the Hitchin fibration. In particular, we desc...

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Bibliographic Details
Main Authors: Collier, Brian (Author) , Sanders, Andrew (Author)
Format: Article (Journal)
Language:English
Published: 2021
In: Advances in mathematics
Year: 2021, Volume: 377, Pages: 1-43
ISSN:1090-2082
DOI:10.1016/j.aim.2020.107490
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.aim.2020.107490
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0001870820305181
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Author Notes:Brian Collier, Andrew Sanders
Description
Summary:In this paper, we introduce a generalization of G-opers for arbitrary parabolic subgroups P<G of a complex semisimple Lie group. For parabolic subgroups associated to “even nilpotents”, we parameterize (G,P)-opers by an object generalizing the base of the Hitchin fibration. In particular, we describe and parameterize families of opers associated to higher Teichmüller spaces.
Item Description:Available online 9 November 2020
Gesehen am 17.02.2022
Physical Description:Online Resource
ISSN:1090-2082
DOI:10.1016/j.aim.2020.107490