dorsal/arxiv
View SchemaSchlesinger transformations for elliptic isomonodromic deformations
| Authors | D. Korotkin, N. Manojlovic, H. Samtleben |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9910010 |
| URL | https://arxiv.org/abs/solv-int/9910010 |
| DOI | 10.1063/1.533296 |
| Journal | J.Math.Phys. 41 (2000) 3125-3141 |
Abstract
Schlesinger transformations are discrete monodromy preserving symmetry transformations of the classical Schlesinger system. Generalizing well-known results from the Riemann sphere we construct these transformations for isomonodromic deformations on genus one Riemann surfaces. Their action on the system's tau-function is computed and we obtain an explicit expression for the ratio of the old and the transformed tau-function.
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"abstract": "Schlesinger transformations are discrete monodromy preserving symmetry\ntransformations of the classical Schlesinger system. Generalizing well-known\nresults from the Riemann sphere we construct these transformations for\nisomonodromic deformations on genus one Riemann surfaces. Their action on the\nsystem\u0027s tau-function is computed and we obtain an explicit expression for the\nratio of the old and the transformed tau-function.",
"arxiv_id": "solv-int/9910010",
"authors": [
"D. Korotkin",
"N. Manojlovic",
"H. Samtleben"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1063/1.533296",
"journal_ref": "J.Math.Phys. 41 (2000) 3125-3141",
"title": "Schlesinger transformations for elliptic isomonodromic deformations",
"url": "https://arxiv.org/abs/solv-int/9910010"
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