Toda equations for Hurwitz numbers
Toda equations for Hurwitz numbers
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DOI：
10.4310/mrl.2000.v7.n4.a10
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发表时间：
2000-04
影响因子：
1
通讯作者：
A. Okounkov
中科院分区：
文献类型：
--
作者：
A. Okounkov
考虑P^1的在0和无穷大上具有任意分支类型的分支覆盖和在别处具有简单分支的分支覆盖，证明了这种覆盖的个数的母函数是Ueno和高崎的户田格族的τ-函数.
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.