Seiberg-Witten Flow in Higher Dimensions

2010/03/09 by Lorenz Schabrun, Schabrun, Lorenz
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1003.1765

arxiv created 2010/07/31 · arxiv updated 2015/03/13

Abstract

We show that for manifolds of dimension m≥5, the flow of a Seiberg-Witten-type functional admits a global smooth solution on M × [0,∞).

Related

• Global Existence for the Seiberg-Witten Flow
• Higher order Seiberg-Witten functionals and their associated gradient flows
• Solutions to the Seiberg-Witten equations in all dimensions
• Seiberg-Witten Like equations on 5-dimensional contact metric manifolds
• Seiberg-Witten equations on surfaces of logarithmic general type