G<inf>2</inf>-Monopoles with Singularities (Examples)
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Â© 2016, Springer Science+Business Media Dordrecht.G2-Monopoles are solutions to gauge theoretical equations on G2-manifolds. If the G2-manifolds under consideration are compact, then any irreducible G2-monopole must have singularities. It is then important to understand which kind of singularities G2-monopoles can have. We give examples (in the noncompact case) of non-Abelian monopoles with Dirac type singularities, and examples of monopoles whose singularities are not of that type. We also give an existence result for Abelian monopoles with Dirac type singularities on compact manifolds. This should be one of the building blocks in a gluing construction aimed at constructing non-Abelian ones.
Published Version (Please cite this version)10.1007/s11005-016-0878-y
Publication InfoOliveira, G (2016). G<inf>2</inf>-Monopoles with Singularities (Examples). Letters in Mathematical Physics, 106(11). pp. 1479-1497. 10.1007/s11005-016-0878-y. Retrieved from https://hdl.handle.net/10161/12692.
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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/