Singular monopoles on a flat circle bundle over a Riemann surface
نویسنده
چکیده
In this paper, the moduli space of singular unitary monopoles on a the product of a circle and a Riemann surface is shown to correspond to a moduli space of stable pairs on the Riemann surface. These pairs consist of a holomorphic vector bundle on the surface and a meromorphic automorphism of the bundle. The singularities of this automorphism correspond to the singularities of the singular monopole. We then consider the complex geometry of the moduli space; in particular, we compute dimensions, both from the complex geometric and the gauge theoretic point of view.
منابع مشابه
Singular Hermitian–Einstein monopoles on the product of a circle and a Riemann surface
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