Toda equations for Hurwitz numbers
代数几何
2007-05-23 v1 数学物理
组合数学
math.MP
表示论
摘要
We consider ramified coverings of P^1 with arbitrary ramification type over 0 and infinity and simple ramifications elsewhere and prove that the generating function for the numbers of such coverings is a tau-function for the Toda lattice hierarchy of Ueno and Takasaki.
关键词
引用
@article{arxiv.math/0004128,
title = {Toda equations for Hurwitz numbers},
author = {Andrei Okounkov},
journal= {arXiv preprint arXiv:math/0004128},
year = {2007}
}
备注
10 pages