The Coupled Seiberg-Witten Equations, vortices, and Moduli spaces of stable pairs

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dc.creatorOkonek, Ch.
dc.creatorTeleman, A.
dc.date1995-05-08
dc.date.accessioned2026-07-07T09:06:30Z
dc.date.available2026-07-07T09:06:30Z
dc.descriptionWe introduce coupled Seiberg-Witten equations, and we prove, using a generalized vortex equation, that, for Kaehler surfaces, the moduli space of solutions of these equations can be identified with a moduli space of holomorphic stable pairs. In the rank 1 case, one recovers Witten's result identifying the space of irreducible monopoles with a moduli space of divisors. As application, we give a short proof of the fact that a rational surface cannot be diffeomorphic to a minimal surface of general type.
dc.descriptionlatex
dc.identifierhttps://arxiv.org/abs/alg-geom/9505012
dc.identifierhttp://arxiv.org/abs/alg-geom/9505012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150028
dc.subjectAlgebraic Geometry
dc.titleThe Coupled Seiberg-Witten Equations, vortices, and Moduli spaces of stable pairs
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