Singular Monopoles on Closed 3-Manifolds
Saman Habibi Esfahani
TL;DR
This paper proves the existence of non-trivial irreducible SU(2)-monopoles with Dirac singularities on any rational homology 3-sphere, regardless of the Riemannian metric, using a gluing construction.
Contribution
It establishes the existence of singular monopoles on all rational homology 3-spheres with a novel gluing method.
Findings
Existence of irreducible SU(2)-monopoles with Dirac singularities
Applicable to any rational homology 3-sphere
Works for any Riemannian metric
Abstract
We prove the existence of non-trivial irreducible SU(2)-monopoles with Dirac singularities on any rational homology 3-sphere, equipped with any Riemannian metric, using a gluing construction.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometric and Algebraic Topology · Black Holes and Theoretical Physics