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THE MODULI SPACE OF CURVES, DOUBLE HURWITZ NUMBERS, AND FABER’S INTERSECTION NUMBER CONJECTURE
DOUBLE HURWITZ NUMBERS FABER’S INTERSECTION NUMBER CONJECTURE
2015/7/14
We define the dimension 2g − 1 Faber-Hurwitz Chow/homology classes on the moduli
space of curves, parametrizing curves expressible as branched covers of P
1 with given ramification...
Double Hurwitz numbers count branched covers of CP1 with fixed branch points,
with simple branching required over all but two points 0 and ∞, and the branching
over 0 and ∞ specified by ...
Double Hurwitz numbers count branched covers of CP1 with fixed branch points,
with simple branching required over all but two points 0 and ∞, and the branching
over 0 and ∞ specified by ...
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...