Some explicit solutions to the Riemann-Hilbert problem
Differential Geometry
2007-05-23 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Explicit solutions to the Riemann-Hilbert problem will be found realising some irreducible non-rigid local systems. The relation to isomonodromy and the sixth Painleve equation will be described. Keywords: Riemann-Hilbert problem, Painleve equations, algebraic solutions, Heun equations, tetrahedral/octahedral group, triangle groups, Belyi maps.
Cite
@article{arxiv.math/0501464,
title = {Some explicit solutions to the Riemann-Hilbert problem},
author = {Philip Boalch},
journal= {arXiv preprint arXiv:math/0501464},
year = {2007}
}
Comments
24 pages, 4 tables (more details, references updated)