The berry connection and other aspects of the Ginzburg-Landau theory in dimension 2
In the first chapter, we analyze the 2-dimensional Ginzburg-Landau vortices at critical coupling, and establish asymptotic formulas for the tangent vectors of the vortex moduli space using theorems of Taubes and Bradlow. We then compute the corresponding Berry curvature and holonomy in the large area limit.In the second chapter, we generalize Bradlow's theorem about existence of irreducible absolute minimizers of the Ginzburg-Landau functional.
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- In Collections
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Electronic Theses & Dissertations
- Copyright Status
- In Copyright
- Material Type
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Theses
- Authors
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Nagy, Akos
- Thesis Advisors
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Parker, Thomas H.
- Committee Members
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Hedden, Matthew
Fintushel, Ronald
Wolfson, Jon
Schenker, Jeffrey
- Date Published
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2016
- Program of Study
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Mathematics - Doctor of Philosophy
- Degree Level
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Doctoral
- Language
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English
- Pages
- vi, 53 pages
- ISBN
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9781369057867
1369057865