Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896484 | Journal of Geometry and Physics | 2011 | 21 Pages |
Abstract
We investigate the geometry of the moduli space of N vortices on line bundles over a closed Riemann surface Σ of genus g>1, in the little explored situation where 1â¤N1, the vortex metric typically degenerates as the dissolving limit is approached, the degeneration occurring precisely on the critical locus of the Abel-Jacobi map of Σ at degree N. We describe consequences of this phenomenon from the point of view of multivortex dynamics.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Nicholas S. Manton, Nuno M. Romão,