Toda equations for Hurwitz numbers
Algebraic Geometry
2007-05-23 v1 Mathematical Physics
Combinatorics
math.MP
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0004128,
title = {Toda equations for Hurwitz numbers},
author = {Andrei Okounkov},
journal= {arXiv preprint arXiv:math/0004128},
year = {2007}
}
Comments
10 pages