Hyperkähler structure of bow varieties

Publikation: Qualifikations-/Studienabschlussarbeit › Dissertation

Autorschaft

  • Yannic Borchard

Organisationseinheiten

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Details

OriginalspracheEnglisch
QualifikationDoctor rerum naturalium
Gradverleihende Hochschule
Betreut von
  • Roger Bielawski, Betreuer*in
Datum der Verleihung des Grades16 Nov. 2022
ErscheinungsortHannover
PublikationsstatusVeröffentlicht - 2023

Abstract

In dieser Dissertation untersuchen wir Cherkis Bogenvarietäten und deren Beschreibung als lineare Flüsse auf der Jacobischen Varietät einer bestimmten Spektralkurve. Wir beschreiben explizit die Bogenvarietät eines deformierten Instanton-Modulraums über der Taub-NUT-Mannigfaltigkeit, das heißt wir beschreiben die Bogenvarietät, die aus einem Pfeil und einem Intervall mit r l-Punkte besteht, und finden eine spektrale Darstellung in Form von Bedingungen an spezielle Divisoren. Wir finden eine asymptotische Metrik für diese Bogenvarietät, indem wir mittels Methoden aus der Twistortheorie einen Modellraum konstruieren und zeigen, dass die zugehörige Metrik asymptotisch nah an der eigentlichen Metrik der Bogenvarietät liegt.

Zitieren

Hyperkähler structure of bow varieties. / Borchard, Yannic.
Hannover, 2023. 107 S.

Publikation: Qualifikations-/Studienabschlussarbeit › Dissertation

Borchard, Y 2023, 'Hyperkähler structure of bow varieties', Doctor rerum naturalium, Gottfried Wilhelm Leibniz Universität Hannover, Hannover. https://doi.org/10.15488/13674
Borchard, Y. (2023). Hyperkähler structure of bow varieties. [Dissertation, Gottfried Wilhelm Leibniz Universität Hannover]. https://doi.org/10.15488/13674
Borchard Y. Hyperkähler structure of bow varieties. Hannover, 2023. 107 S. doi: 10.15488/13674
Borchard, Yannic. / Hyperkähler structure of bow varieties. Hannover, 2023. 107 S.
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