One-vortex moduli space and Ricci flow
High Energy Physics - Theory
2008-11-26 v1
Abstract
The metric on the moduli space of one abelian Higgs vortex on a surface has a natural geometrical evolution as the Bradlow parameter, which determines the vortex size, varies. It is shown by various arguments, and by calculations in special cases, that this geometrical flow has many similarities to Ricci flow.
Keywords
Cite
@article{arxiv.0805.0211,
title = {One-vortex moduli space and Ricci flow},
author = {Nicholas S. Manton},
journal= {arXiv preprint arXiv:0805.0211},
year = {2008}
}
Comments
20 pages