Contents Online
Mathematical Research Letters
Volume 7 (2000)
Number 4
Toda equations for Hurwitz numbers
Pages: 447 – 453
DOI: https://dx.doi.org/10.4310/MRL.2000.v7.n4.a10
Author
Abstract
We consider ramified coverings of $\mathbb{P}^1$ with arbitrary ramification type over $0,\infty\in\mathbb{P}^1$ 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.
Published 1 January 2000