Solution of matrix Riemann-Hilbert problems with quasi-permutation monodromy matrices
| dc.creator | Korotkin, D. | |
| dc.date | 2003-06-25 | |
| dc.date.accessioned | 2026-07-07T04:30:18Z | |
| dc.date.available | 2026-07-07T04:30:18Z | |
| dc.description | In this paper we solve an arbitrary matrix Riemann-Hilbert (inverse monodromy) problem with quasi-permutation monodromy representations outside of a divisor in the space of monodromy data. This divisor is characterized in terms of the theta-divisor on the Jacobi manifold of an auxiliary compact Riemann surface realized as an appropriate branched covering of $\CP1$ . The solution is given in terms of a generalization of Szegö kernel on the Riemann surface. In particular, our construction provides a new class of solutions of the Schlesinger system. The isomonodromy tau-function of these solutions is computed up to a nowhere vanishing factor independent of the elements of monodromy matrices. | |
| dc.description | submitted to Math.Annalen 08.2002 | |
| dc.identifier | https://arxiv.org/abs/math-ph/0306061 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0306061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57425 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Solution of matrix Riemann-Hilbert problems with quasi-permutation monodromy matrices | |
| dc.type | text |