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arXiv · 2210.00966

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

R. I. Garcia Lara·J. M. Speight
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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.

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R. I. Garcia Lara, J. M. Speight. 2022-10-03. The geometry of the space of vortices on a two-sphere in the Bradlow limit. https://arxiv.org/abs/2210.00966

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