Monopoles on AC 3-manifolds
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© 2016 London Mathematical Society.We construct monopoles on asymptotically conical (AC) 3-manifold X with vanishing second Betti number b-2(X). For sufficiently large mass, our construction covers an open set in the moduli space of monopoles. We also give a more general construction of Dirac monopoles in any AC manifold, which may be useful for generalizing our result to the case when b-2(X) \neq 0.
Published Version (Please cite this version)10.1112/jlms/jdw017
Publication InfoFernandes de Oliveira, GM (2016). Monopoles on AC 3-manifolds. Journal of the London Mathematical Society, 93(3). pp. 785-810. 10.1112/jlms/jdw017. Retrieved from https://hdl.handle.net/10161/12693.
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William W. Elliott Assistant Research Professor
My research is in the area of Differential Geometry. Particularly in Gauge Theory and Special Holonomy.See also my webpage https://services.math.duke.edu/~oliveira/