Vortices on Riemann Surfaces

Update: 2011-06-30

Description

We will discuss the geometry and physics of U(1) vortex solutions on compact Riemann surfaces. The moduli space of N-vortex solutions has a natural Riemannian metric, for which there is a localised expression (Samols-Strachan) although this is not known explicitly. The volume of the moduli space is known, leading to an equation of state for a vortex gas. An asymptotic expression for the moduli space metric for one vortex on a large surface has been obtained, which could be developed further (Dunajski & Manton). The metric is also understood in the limit of a small surface, where the vortex dissolves (Manton & Romao).

Comments

In Channel

Vector bundles and coherent systems on nodal curves

2011-07-2552:28

Higgs bundles and quaternionic geometry

2011-07-0401:05:32

Moduli spaces of locally homogeneous geometric structures

2011-07-0401:04:39

Bridgeland stability conditions and Fourier-Mukai transforms

2011-07-0101:03:12

Deligne-Hodge polynomials for SL(2,C)-character varieties of genus 1 and 2.

2011-07-0129:43

Derived equivalences of Azumaya algebras on K3 surfaces

2011-07-0130:29

Derived categories and rationality of conic bundles

2011-07-0126:56

Stability conditions for the local projective plane

2011-07-0152:06

Kahler-Einstein metrics and Geometric Invariant Theory

2011-07-0101:06:18

Introduction to moduli of varieties - IV: Surfaces of general type related to abelian varieties and hyperplane arrangements

2011-07-0101:05:24

Monopoles on the product of a surface and the circle

2011-06-3001:06:22

Vortices on Riemann Surfaces

2011-06-3001:05:08

Rank two Brill-Noether theory and the birational geometry of the moduli space of curves

2011-06-3001:06:31

Universal plane curve and moduli spaces of 1-dimensional coherent sheaves

2011-06-3026:23

Topology of moduli spaces of vector bundles on a real algebraic curve

2011-06-3031:19

Moduli of plane sheaves supported on curves of low multiplicity

2011-06-2929:10

Brill-Noether theory for vector bundles with fixed determinant

2011-06-2956:03

Geometric unitarity of the KZ/Hitchin connection on conformal blocks in genus 0

2011-06-2959:58

Refined curve counting on algebraic surfaces

2011-06-2901:02:01

Compactifications of reductive groups as moduli stacks of bundles

2011-06-2936:00

00:00

Vortices on Riemann Surfaces

#box-pro-ellipsis-175750429890568{-webkit-line-clamp:2;}Vortices on Riemann Surfaces

Vortices on Riemann Surfaces

Steve Greenham

Vortices on Riemann Surfaces