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Monopoles on AC 3-manifolds
Abstract
© 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.
Type
Journal articlePermalink
https://hdl.handle.net/10161/12693Published Version (Please cite this version)
10.1112/jlms/jdw017Publication Info
(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.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Goncalo Marques Fernandes de Oliveira
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/
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