Kottke, C;
Singer, M;
(2022)
Partial Compactification of Monopoles and Metric Asymptotics.
Memoirs of the American Mathematical Society
, 280
(1383)
10.1090/MEMO/1383.
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Abstract
We construct a partial compactification of the moduli space, Mk, of SU(2) magnetic monopoles on ℝ3, wherein monopoles of charge k decompose into widely separated 'monopole clusters' of lower charge going off to infinity at comparable rates. The hyperKähler metric on Mk 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.
| Type: | Article |
|---|---|
| Title: | Partial Compactification of Monopoles and Metric Asymptotics |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1090/MEMO/1383 |
| Publisher version: | https://doi.org/10.1090/memo/1383 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Non-abelian magnetic monopole, moduli space, compactification, manifold with corners, pseudodifferential operator, gauge theory |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10168509 |
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