Hyperbolic monopoles and holomorphic spheres
Michael K. Murray, Paul Norbury, and Michael A. Singer
TL;DR
This paper establishes a novel connection between SU(2) hyperbolic monopoles and holomorphic spheres, providing new insights into their geometric and analytical properties.
Contribution
It introduces a method to associate hyperbolic monopoles with holomorphic spheres, revealing new features and structures of monopoles through complex geometry.
Findings
Holomorphic spheres encode monopole features
New geometric invariants for monopoles identified
Enhanced understanding of monopole structure through complex analysis
Abstract
We associate to an SU(2) hyperbolic monopole a holomorphic sphere embedded in projective space and use this to uncover various features of the monopole.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology