Toda equations for Hurwitz numbers
Okounkov, Andrei
arXiv, 0004128 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-04-19
Classification:  Mathematics - Algebraic Geometry,  Mathematical Physics,  Mathematics - Combinatorics,  Mathematics - Representation Theory 
@article{0004128,
     author = {Okounkov, Andrei},
     title = {Toda equations for Hurwitz numbers},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0004128}
}

Okounkov, Andrei. Toda equations for Hurwitz numbers. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0004128/