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Duality for the general isomonodromy problem

Abstract:

By an extension of Harnad's and Dubrovin's 'duality' constructions, the general isomonodromy problem studied by Jimbo, Miwa, and Ueno is equivalent to one in which the linear system of differential equations has a regular singularity at the origin and an irregular singularity at infinity (both resonant). The paper looks at this dual formulation of the problem from two points of view: the symplectic geometry of spaces associated with the loop group of the general linear group, and a generaliza...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
JOURNAL OF GEOMETRY AND PHYSICS
Volume:
57
Issue:
4
Pages:
1147-1170
Publication date:
2007-03-05
DOI:
ISSN:
0393-0440
URN:
uuid:63f14659-2a37-43e6-a869-e50ecf10781e
Source identifiers:
20217
Local pid:
pubs:20217
Language:
English

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