One-vortex moduli space and Ricci flow

Details One-vortex moduli space and Ricci flow One-vortex moduli space and Ricci flow

2008-05-02

arxiv.org/abs/0805.0211v1

J.Geom.Phys.58:1772-1783,2008

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1016/j.geomphys.2008.08.005

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.

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