A study on the extended bogomolny equations
Abstract/Contents
- Abstract
- This thesis contains results on the analysis and geometry of the extended Bogomolny family of equations (EBF). The first result of this thesis is a proof of the existence of model knot solutions for any member of the above family. The second result is the construction and partial classification of solutions to the EBF at $t=1$ under the assumption that the Higgs field is either nilpotent or semisimple and constant. The last result of this thesis gives a description of the moduli structure of the solution space of EBF at $t=1$ when the underlying space is a closed Riemann surface times the half line in terms of the moduli space of Higgs bundles.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2023; ©2023 |
| Publication date | 2023; 2023 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Dimakis, Panagiotis |
|---|---|
| Degree supervisor | Mazzeo, Rafe |
| Thesis advisor | Mazzeo, Rafe |
| Thesis advisor | Ionel, Eleny |
| Thesis advisor | Vasy, András |
| Degree committee member | Ionel, Eleny |
| Degree committee member | Vasy, András |
| Associated with | Stanford University, School of Humanities and Sciences |
| Associated with | Stanford University, Department of Mathematics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Panagiotis Dimakis. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2023. |
| Location | https://purl.stanford.edu/pn325wb3601 |
Access conditions
- Copyright
- © 2023 by Panagiotis Dimakis
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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