## 10 Citations

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

- Mathematics
- 2022

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…

### Higher order geometric flows on three-dimensional locally homogeneous spaces

- Mathematics
- 2013

We analyse second order (in Riemann curvature) geometric flows (un-normalised) on locally homogeneous three manifolds and look for specific features through the solutions (analytic wherever possible,…

### Bergman kernel on Riemann surfaces and Kähler metric on symmetric products

- MathematicsInternational Journal of Mathematics
- 2019

Let [Formula: see text] be a compact hyperbolic Riemann surface equipped with the Poincaré metric. For any integer [Formula: see text], we investigate the Bergman kernel associated to the holomorphic…

### Higher winding strings and confined monopoles in N=2 supersymmetric QCD

- Physics
- 2010

We consider composite string solutions in N=2 SQCD with the gauge group U(N), the Fayet-Iliopoulos term {xi}{ne}0 and N (s)quark flavors. These bulk theories support non-Abelian strings and confined…

### Ricci flow of unwarped and warped product manifolds

- Mathematics
- 2009

We analyse Ricci flow (normalised/un-normalised) of product manifolds --unwarped as well as warped, through a study of generic examples. First, we investigate such flows for the unwarped scenario…

### RICCI FLOWS ON SURFACES RELATED TO THE EINSTEIN WEYL AND ABELIAN VORTEX EQUATIONS

- MathematicsGlasgow Mathematical Journal
- 2014

Abstract There are described equations for a pair comprising a Riemannian metric and a Killing field on a surface that contain as special cases the Einstein Weyl equations (in the sense of D.…

### A pr 2 01 0 ITFA-2010-09 On the L 2-metric of vortex moduli spaces

- 2010

## References

SHOWING 1-10 OF 26 REFERENCES

### Volume of Vortex Moduli Spaces

- Physics
- 1999

Abstract:A gas of N Bogomol'nyi vortices in the Abelian Higgs model is studied on a compact Riemann surface of genus g and area A. The volume of the moduli space is computed and found to depend on N,…

### Vortices in holomorphic line bundles over closed Kähler manifolds

- Mathematics
- 1990

We apply a modified Yang-Mills-Higgs functional to unitary bundles over closed Kähler manifolds and study the equations which govern the global minima. The solutions represent vortices in holomorphic…

### Low‐velocity scattering of vortices in a modified Abelian Higgs model

- Physics, Mathematics
- 1992

The moduli space metric for hyperbolic vortices is constructed, and their slow motion scattering is calculated in terms of geodesics in this space.

### Vortex scattering

- Physics, Mathematics
- 1992

The geodesic approximation to vortex dynamics in the critically coupled abelian Higgs model is studied. The metric on vortex moduli space is shown to be Kähler and a scheme for its numerical…

### Dynamics of critical vortices on the torus and on the plane

- Mathematics, Physics
- 2007

We use the Bradlow parameter expansion to construct the metric tensor in the space of solutions of the Bogomolny equations for the Abelian Higgs model on a two-dimensional torus. Using this metric we…

### Arbitrary N-Vortex Solutions to the First Order

- Mathematics
- 2004

We prove that a set of N not necessarily distinct points in the plane determine a unique, real analytic solution to the first order Ginzburg-Landau equations with vortex number N. This solution has…

### The dynamics of vortices on S2 near the Bradlow limit

- Mathematics
- 2003

The explicit solutions of the Bogomolny equations for N vortices on a sphere of radius R2>N are not known. In particular, this has prevented the use of the geodesic approximation to describe the low…