Compactification of the moduli spaces of vortices and coupled vortices

Details Compactification of the moduli spaces of vortices and coupled vortices Compactification of the moduli spaces of vortices and coupled vortices

2002-03-08

arxiv.org/abs/math/0203078v1

Mathematics

Differential Geometry

24 pages

Scientific paper

Vortices and coupled vortices arise from Yang-Mills-Higgs theories and can be viewed as generalizations or analogues to Yang-Mills connections and, in particular, Hermitian-Yang-Mills connections. We proved an analytic compactification of the moduli spaces of vortices and coupled vortices on hermitian vector bundles over compact K\"ahler manifolds. In doing so we introduced the concept of ideal coupled vortices and characterized the singularities of ideal coupled vortices as well as Hermitian-Yang-Mills connections.

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