Nahms Equations and Nilpotent Orbits

von Christoff Krüger
Dissertation
Datum der mündl. Prüfung:2022-04-20
Erschienen:2022-05-31
Betreuer:Prof. Dr. Viktor Pidstrygach
Gutachter:Prof. Dr. Viktor Pidstrygach
Gutachter:Prof. Dr. Thomas Schick
Zum Verlinken/Zitieren: http://dx.doi.org/10.53846/goediss-9271

 

 

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Zusammenfassung

Englisch

P. Kronheimer has identified certain space of solutions to Nahms equations with a coadjoint orbit of a nilpotent element in a complex, semi-simple Lie algebra and that way equipped the orbit with an hyperkähler structure plus additional symmetries. In order to use nilpotent orbits as target manifolds for the theorey of generalised Seiberg-Witten equations we have to establish this identifications with solutions more explicitly. In this thesis we use a recurrence relation described by E. Cattani, A. Kaplan and W. Schmid to formulate critical steps towards the computation of explicit solutions.
Keywords: Nilpotent Orbits; Nahm's Equations
 
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