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Nahms Equations and Nilpotent Orbits

dc.contributor.advisorPidstrygach, Viktor Prof. Dr.
dc.contributor.authorKrüger, Christoff
dc.date.accessioned2022-05-31T13:00:24Z
dc.date.available2022-06-07T00:50:23Z
dc.date.issued2022-05-31
dc.identifier.urihttp://resolver.sub.uni-goettingen.de/purl?ediss-11858/14074
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-9271
dc.language.isoengde
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.ddc510de
dc.titleNahms Equations and Nilpotent Orbitsde
dc.typedoctoralThesisde
dc.contributor.refereePidstrygach, Viktor Prof. Dr.
dc.date.examination2022-04-20de
dc.description.abstractengP. 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.de
dc.contributor.coRefereeSchick, Thomas Prof. Dr.
dc.subject.engNilpotent Orbitsde
dc.subject.engNahm's Equationsde
dc.identifier.urnurn:nbn:de:gbv:7-ediss-14074-8
dc.affiliation.instituteFakultät für Mathematik und Informatikde
dc.subject.gokfullMathematics (PPN61756535X)de
dc.description.embargoed2022-06-07de
dc.identifier.ppn1806821826


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