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SEIBERG–WITTEN FLOW IN HIGHER DIMENSIONS

Part of: Partial differential equations

Published online by Cambridge University Press:  01 March 2013

LORENZ SCHABRUN
LORENZ SCHABRUN*
Affiliation:
Department of Mathematics, The University of Queensland, Brisbane, Qld 4072, Australia (email: lorenz@maths.uq.edu.au)
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Abstract

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We show that for manifolds of dimension $m\geq 5$, the flow of a Seiberg–Witten-type functional admits a global smooth solution.

Keywords

Seiberg–Witten flowglobal existencehigher dimensions

MSC classification

Secondary: 35A01: Existence problems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 93 , Issue 3 , December 2012 , pp. 311 - 324
Copyright
Copyright © 2013 Australian Mathematical Publishing Association Inc. 

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