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Characteristic numbers of rational nodal curves in $\mathbb{P}^3$
Characteristic numbers of rational nodal $\mathbb{P}^3$
2011/1/19
In this paper we compute the number of rational curves with one node passing through a given number of points, lines and tangent to a given number of planes in P3.
Generalized string equations for double Hurwitz numbers
Hurwitz numbers Toda hierarchy generalized string equation
2011/2/28
The generating function of double Hurwitz numbers is known to become a tau function of the Toda hierarchy. The associated Lax and Orlov-Schulman operators turn out to satisfy a set of generalized stri...