Asymptotic values of hyperbolic monopoles
Paul Norbury
TL;DR
This paper demonstrates that hyperbolic monopoles can be uniquely identified by their asymptotic values, highlighting a key difference from Euclidean monopoles.
Contribution
It introduces the concept that asymptotic values serve as distinguishing features for hyperbolic monopoles, unlike in the Euclidean case.
Findings
Hyperbolic monopoles have unique asymptotic signatures.
Asymptotic values differentiate hyperbolic from Euclidean monopoles.
The study provides a new method for classifying hyperbolic monopoles.
Abstract
We show that many hyperbolic monopoles can be distinguished from each other via their asymptotic values in contrast to the case of Euclidean monopoles.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic and Geometric Analysis · Geometric and Algebraic Topology