Dürr, M (2005). Witten triples and the Seiberg-Witten equations on a complex surface. Mathematische Nachrichten, 278(1-2):53-76.
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We study the solutions of the Seiberg-Witten equations on complex surfaces. We show that for a large class of parameters, the gauge equivalence classes of irreducible solutions of the twisted Seiberg-Witten equations correspond to stable Witten triples. We prove that on Kähler surfaces this correspondence is the set-theoretical support of an isomorphism of real-analytic spaces. This makes it possible to take multiplicities into account and generalizes and unifies results previously obtained by Witten. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
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|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Uncontrolled Keywords:||Complex surfaces • Seiberg-Witten equations • Kobayashi-Hitchin correspondence|
|Deposited On:||19 Feb 2010 15:32|
|Last Modified:||27 Nov 2013 17:18|
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