Schlesinger transformations for elliptic isomonodromic deformations
solv-int
2015-06-26 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.solv-int/9910010,
title = {Schlesinger transformations for elliptic isomonodromic deformations},
author = {D. Korotkin and N. Manojlovic and H. Samtleben},
journal= {arXiv preprint arXiv:solv-int/9910010},
year = {2015}
}
Comments
19 pages, LaTeX2e