On the structure of Goulden-Jackson-Vakil formula
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| Publication date | 2009 |
| Journal | Mathematical Research Letters |
| Volume | Issue number | 16 | 4 |
| Pages (from-to) | 703-710 |
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| Abstract | 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 X-g,X-n of dimension 4(g) - 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. |
| Document type | Article |
| Published at | http://www.mrlonline.org/mrl/2009-016-004/2009-016-004-011.html |
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