On the Structure of Goulden-jackson-vakil Formula
نویسنده
چکیده
We study the structure of the Goulden-Jackson-Vakil formula that relates Hurwitz numbers to some conjectural “intersection numbers” on a conjectural family of varieties Xg,n of dimension 4g − 3 + n. We give explicit formulas for the properly arranged generating function for these “intersection numbers”, and prove that it satisfies Hirota equations. This generalizes and substantially simplifies our earlier results with Zvonkine.
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