34 citations · 110 across the 21 of their papers we have counts for
4 papers · 1 filter
The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals
Ian Goulden, David Jackson, Ravi Vakil
Hurwitz numbers, which count certain covers of the projective line (or, equivalently, factorizations of permuations into transpositions), have been extensively studied for over a c…
The number of ramified coverings of the sphere by the double torus, and a general form for higher genera
I. P. Goulden, D. M. Jackson
An explicit expression is obtained for the generating series for the number of ramified coverings of the sphere by the double torus, with elementary branch points and prescribed ra…
The number of ramified coverings of the sphere by the torus and surfaces of higher genera
P. P. Goulden, D. M. Jackson, A. Vainshtein
We obtain an explicit expression for the number of ramified coverings of the sphere by the torus with given ramification type for a small number of ramification points, and conject…
A proof of a conjecture for the number of ramified coverings of the sphere by the torus
I. P. Goulden, D. M. Jackson
An explicit expression is obtained for the generating series for the number of ramified coverings of the sphere by the torus, with elementary branch points and prescribed ramificat…