Vortices and Flat Connections

Abstract

At Bradlow's limit, the moduli space of Bogomol'nyi vortices on a compact Riemann surface of genus $g$ is determined. The Kähler form, and the volume of the moduli space is then computed. These results are compared with the corresponding results previously obtained for a general vortex moduli space.

LaTex file, 6 pages

References in corpus (2)

• Thermodynamics of Vortices in the Plane
• Phase Transitions in a Vortex Gas

Cited by in corpus (8)

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• Expansion for the solutions of the Bogomolny equations on the torus
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• On the Kaehler metrics over ${mathrm{Sym}^{d}(X)$