Painleve Equations and Complex Reflections
Classical Analysis and ODEs
2013-05-29 v1
Abstract
We will explain how some new algebraic solutions of the sixth Painleve equation arise from complex reflection groups, thereby extending some results of Hitchin and Dubrovin-Mazzocco for real reflection groups. The problem of finding explicit formulae for these solutions will be addressed elsewhere.
Keywords
Cite
@article{arxiv.1305.6462,
title = {Painleve Equations and Complex Reflections},
author = {Philip Boalch},
journal= {arXiv preprint arXiv:1305.6462},
year = {2013}
}
Comments
10 pages. Simplified version of the author's talk at the conference in honour of Fr\'ed\'eric Pham, Nice 1-5 July 2002