On the structure of Goulden-Jackson-Vakil formula
نویسندگان
چکیده
منابع مشابه
On the Structure of Goulden-jackson-vakil Formula
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 ...
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How many n-letter words w1 · · ·wn in the alphabet A B D avoid the “bad word” BAD?; i.e., for every i = 1 2 n− 2, it may never happen that wi = B, wi+1 = A, and wi+2 = D. This question is easy. Suppose that you also must avoid ADB and DBA. Then the question is not so easy and is handled by the powerful Goulden–Jackson method, independently discovered by Guibas and Odlyzko. See [GJ1, GJ2, GO]. S...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2009
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2009.v16.n4.a11