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math.DG2012★ 4 cited
Moduli Spaces of Abelian Vortices on Kahler Manifolds
J. M. Baptista
We consider the self-dual vortex equations on a positive line bundle L --> M over a compact Kaehler manifold of arbitrary dimension. When M is simply connected, the moduli space of…
math.DG2012
Abelian Vortices with Singularities
J. M. Baptista, Indranil Biswas
Let L --> X be a complex line bundle over a compact connected Riemann surface. We consider the abelian vortex equations on L when the metric on the surface has finitely many point…
math.DG2004★ 36 cited
Vortex equations in abelian gauged sigma-models
J. M. Baptista
We consider nonlinear gauged sigma-models with Kahler domain and target. For a special choice of potential these models admit Bogomolny (or self-duality) equations -- the so-called…