Toda equations for Hurwitz numbers

Details Toda equations for Hurwitz numbers Toda equations for Hurwitz numbers

2000-04-19

arxiv.org/abs/math/0004128v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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.

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