Painlevé type equations and Hitchin systems
| dc.creator | Olshanetsky, M. | |
| dc.date | 1999-01-25 | |
| dc.date.accessioned | 2026-07-07T04:32:40Z | |
| dc.date.available | 2026-07-07T04:32:40Z | |
| dc.description | In this survey we present the interpretation of isomondromy preserving equations on Riemann surfaces with marked points as reduced Hamiltonian systems. The upstairs space is the space of smooth connections of GL(N) bundles with simple poles in the marked points. We discuss relations of these equations with the Whitham quantization of the Hitchin systems and with the classical limit of the Knizhnik-Zamolodchikov-Bernard equations. The main example is the one-parameter family of Painlevé VI equation and its multicomponent generalization. | |
| dc.description | 19 pages, Latex, Contribution in the Proceedings "Integrability: the Seiberg-Witten and Whitham Equations", Edinburgh, September 1998 | |
| dc.identifier | https://arxiv.org/abs/math-ph/9901019 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9901019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58274 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Painlevé type equations and Hitchin systems | |
| dc.type | text |