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https://hdl.handle.net/2440/3726
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Type: | Journal article |
Title: | Spectral curves of non-integral hyperbolic monopoles |
Author: | Murray, M. Singer, M. |
Citation: | Nonlinearity, 1996; 9(4):973-997 |
Publisher: | IOP PUBLISHING LTD |
Issue Date: | 1996 |
ISSN: | 0951-7715 1361-6544 |
Abstract: | The twistor desription of non-integral SUn-monopoles on hyperbolic 3-space is developed and some consequences discussed. It is shown that in a precise sense, any appropriately decaying hyperbolic monopole is determined by its asymptotic values, and also that such monopoles determine and are determined by their spectral data (which reduces to a complex algebraic curve when n = 2). This paper provides the hyperbolic analogue of the work of Hitchin and others on euclidean monopoles and generalizes that of Atiyah and Braam-Austin on integral hyperbolic monopoles. © 1996 IOP Publishing Ltd and LMS Publishing Ltd. |
DOI: | 10.1088/0951-7715/9/4/009 |
Published version: | http://dx.doi.org/10.1088/0951-7715/9/4/009 |
Appears in Collections: | Aurora harvest Pure Mathematics publications |
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