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Witten triples and the Seiberg–Witten equations on a complex surface

✍ Scribed by Markus Dürr

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
287 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

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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