Duality for the general isomonodromy problem
| Autor: | N.M.J. Woodhouse |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Pure mathematics
Nonlinear Sciences - Exactly Solvable and Integrable Systems Differential equation media_common.quotation_subject Linear system General Physics and Astronomy Duality (optimization) FOS: Physical sciences General linear group Infinity Algebra Singularity Nonlinear Sciences::Exactly Solvable and Integrable Systems Loop group Geometry and Topology Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics Mathematics media_common Symplectic geometry |
| DOI: | 10.48550/arxiv.nlin/0601003 |
| Popis: | 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 generalization of the self-dual Yang-Mills equations. © 2006 Elsevier Ltd. All rights reserved. |
| Databáze: | OpenAIRE |
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