The geometry of the space of vortices on a two-sphere in the Bradlow limit

Abstract

It is proved that the normalized $L^2$ metric on the moduli space of $n$-vortices on a two-sphere, endowed with any Riemannian metric, converges uniformly in the Bradlow limit to the Fubini-Study metric. This establishes, in a rigorous setting, a longstanding informal conjecture of Baptista and Manton.

19 pages, 0 figures. Minor corrections, accepted version

Cited by in corpus (1)

• Quantum Statistical Mechanics of Dissolving Vortices