| dc.contributor.advisor | Pidstrygach, Viktor Prof. Dr. | |
| dc.contributor.author | Raymond, Robin | |
| dc.date.accessioned | 2019-01-11T10:07:45Z | |
| dc.date.available | 2019-01-11T10:07:45Z | |
| dc.date.issued | 2019-01-11 | |
| dc.identifier.uri | http://hdl.handle.net/11858/00-1735-0000-002E-E557-8 | |
| dc.identifier.uri | http://dx.doi.org/10.53846/goediss-7232 | |
| dc.identifier.uri | http://dx.doi.org/10.53846/goediss-7232 | |
| dc.language.iso | eng | de |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject.ddc | 510 | de |
| dc.title | Generalized Seiberg-Witten and the Nahm Transform | de |
| dc.type | doctoralThesis | de |
| dc.contributor.referee | Pidstrygach, Viktor Prof. Dr. | |
| dc.date.examination | 2018-01-24 | |
| dc.description.abstracteng | Using the viewpoint of principal bundles on hyperk¨
ahler reductions, we recover the
results of Gocho and Nakajima [GN92] and give insights into the role that the quater-
nions play. We define a framework for dimensional reduction of gauge theories and
show that the Haydys-Witten equations are dimensionally reduced Spinp7q-instantons.
We extend the Nahm transform to data close to a solution satisfying the ordinary
boundary conditions. Using generalized Seiberg-Witten, we show that G2-Monopoles
on Λ2
`X and solutions of the Haydys-Witten equations on R ˆ X for X an oriented Riemannian 4-manifold are related to solutions of generalized Seiber-Witten equations
with target the moduli space of Bogomolny monopoles and Nahm equations respec-
tively. Applying the Nahm transform we derive a relation between G2-Monopoles and
solutions of the Haydys-Witten equations. Finally we hint how this can be extended | de |
| dc.contributor.coReferee | Schick, Thomas Prof. Dr. | |
| dc.contributor.thirdReferee | Rehren, Karl-Henning Prof. Dr. | |
| dc.contributor.thirdReferee | Seppänen, Henrik Prof. Dr. | |
| dc.contributor.thirdReferee | Wardetzky, Max Prof. Dr. | |
| dc.contributor.thirdReferee | Zhu, Chenchang Prof. Dr. | |
| dc.subject.eng | Gauge Theory | de |
| dc.subject.eng | Nahm Transform | de |
| dc.subject.eng | Generalized Seiberg-Witten | de |
| dc.identifier.urn | urn:nbn:de:gbv:7-11858/00-1735-0000-002E-E557-8-5 | |
| dc.affiliation.institute | Fakultät für Mathematik und Informatik | de |
| dc.subject.gokfull | Mathematik (PPN61756535X) | de |
| dc.identifier.ppn | 1046253832 | |