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https://dx.doi.org/10.48550/ar...
Article . 2015
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Partial Compactification of Monopoles and Metric Asymptotics

Authors: Kottke, C; Singer, M;

Partial Compactification of Monopoles and Metric Asymptotics

Abstract

We construct a partial compactification of the moduli space, M k \mathcal {M}_k , of S U ( 2 ) \mathrm {SU}(2) magnetic monopoles on R 3 \mathbb {R}^3 , wherein monopoles of charge k k decompose into widely separated ‘monopole clusters’ of lower charge going off to infinity at comparable rates. The hyperKähler metric on M k \mathcal {M}_k has a complete asymptotic expansion up to the boundary, the leading term of which generalizes the asymptotic metric discovered by Bielawski, Gibbons and Manton when each lower charge is 1.

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United Kingdom
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Keywords

Mathematics - Differential Geometry, compactification, manifold with corners, pseudodifferential operator, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematics - Analysis of PDEs, gauge theory, Differential Geometry (math.DG), FOS: Mathematics, moduli space, Mathematical Physics, Non-abelian magnetic monopole, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green