Back to Search
Start Over
Ginzburg–Landau equations on Riemann surfaces of higher genus
- Source :
- Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 37:79-103
- Publication Year :
- 2020
- Publisher :
- European Mathematical Society - EMS - Publishing House GmbH, 2020.
-
Abstract
- We study the Ginzburg-Landau equations on Riemann surfaces of arbitrary genus. In particular: - we construct explicitly the (local moduli space of gauge-equivalent) solutions in a neighbourhood of the constant curvature ones; - classify holomorphic structures on line bundles arising as solutions to the equations in terms of the degree, the Abel-Jacobi map, and symmetric products of the surface; - determine the form of the energy and identify when it is below the energy of the constant curvature (normal) solutions.<br />Comment: 37 pages
- Subjects :
- Surface (mathematics)
Holomorphic function
FOS: Physical sciences
01 natural sciences
35Q56, 35Q40, 81Q70, 81V70
symbols.namesake
Mathematics - Analysis of PDEs
Mathematics::Algebraic Geometry
Genus (mathematics)
0103 physical sciences
FOS: Mathematics
0101 mathematics
Mathematical Physics
Mathematical physics
Physics
Degree (graph theory)
Applied Mathematics
Riemann surface
010102 general mathematics
Mathematical Physics (math-ph)
Moduli space
Constant curvature
Line (geometry)
symbols
010307 mathematical physics
Analysis
Analysis of PDEs (math.AP)
Subjects
Details
- ISSN :
- 18731430 and 02941449
- Volume :
- 37
- Database :
- OpenAIRE
- Journal :
- Annales de l'Institut Henri Poincaré C, Analyse non linéaire
- Accession number :
- edsair.doi.dedup.....b2bdbd0fb8722f1f7f7d25ef4fdb01ca