Recognition: unknown
Toda equations for Hurwitz numbers
classification
🧮 math.AG
math-phmath.COmath.MPmath.RT
keywords
coveringsnumberstodaarbitraryconsiderelsewhereequationsfunction
read the original 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.
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