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Hyperkähler structure of bow varieties

Research output: Thesis › Doctoral thesis

Authors

  • Yannic Borchard

Research Organisations

Details

Original languageEnglish
QualificationDoctor rerum naturalium
Awarding Institution
Supervised by
  • Roger Bielawski, Supervisor
Date of Award16 Nov 2022
Place of PublicationHannover
Publication statusPublished - 2023

Abstract

In this thesis we study Cherkis bow varieties and its description in terms of linear flows on the Jacobian variety of certain spectral curve. We describe explicitly the bow variety of a deformed instanton moduli space over Taub-NUT, i.e. the bow variety consisting of one arrow and interval with r l-points, and find a spectral description in terms of conditions on certain divisors. We find an asymptotic metric for the bow variety by constructing a model space using twistor methods and showing that the corresponding metric is asymptotically close to the one of the bow variety.

Cite this

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

Research output: Thesis › Doctoral thesis

Borchard, Y 2023, 'Hyperkähler structure of bow varieties', Doctor rerum naturalium, Leibniz University Hannover, Hannover. https://doi.org/10.15488/13674
Borchard, Y. (2023). Hyperkähler structure of bow varieties. [Doctoral thesis, Leibniz University Hannover]. https://doi.org/10.15488/13674
Borchard Y. Hyperkähler structure of bow varieties. Hannover, 2023. 107 p. doi: 10.15488/13674
Borchard, Yannic. / Hyperkähler structure of bow varieties. Hannover, 2023. 107 p.
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