The geometry of the space of vortices on a two-sphere in the Bradlow limit
Abstract
It is proved that the normalized L2 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.
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