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https://hdl.handle.net/2440/42960
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Type: | Journal article |
Title: | Spectral curves and the mass of hyperbolic monopoles |
Author: | Norbury, Paul Romao, Nuno Miguel |
Citation: | Communications in Mathematical Physics, 2007; 270 (2):295-333 |
Publisher: | Springer |
Issue Date: | 2007 |
ISSN: | 0010-3616 |
School/Discipline: | School of Mathematical Sciences |
Statement of Responsibility: | Paul Norbury and Nuno M. Romão |
Abstract: | The moduli spaces of hyperbolic monopoles are naturally fibred by the monopole mass, and this leads to a nontrivial mass dependence of the holomorphic data (spectral curves, rational maps, holomorphic spheres) associated to hyperbolic multi-monopoles. In this paper, we obtain an explicit description of this dependence for general hyperbolic monopoles of magnetic charge two. In addition, we show how to compute the monopole mass of higher charge spectral curves with tetrahedral and octahedral symmetries. Spectral curves of euclidean monopoles are recovered from our results via an infinite-mass limit. |
Description: | The original publication can be found at www.springerlink.com |
DOI: | 10.1007/s00220-006-0148-4 |
Appears in Collections: | Mathematical Sciences publications |
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