Ginzburg-Landau equations on Riemann surfaces of higher genus

Autor:	Chouchkov, D., Ercolani, N. M., Rayan, S., Sigal, I. M.
Rok vydání:	2017
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics 35Q56 35Q40 81Q70 81V70
Zdroj:	Ann. Inst. Henri Poincar\'e C 37 (2020), no. 1, 79--103
Druh dokumentu:	Working Paper
DOI:	10.1016/j.anihpc.2019.04.002
Popis:	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. Comment: 37 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1704.03422 Zobrazit plný text záznamu View this record from Arxiv