19 citations · 77 across the 19 of their papers we have counts for
4 papers · 2 filters
Towards the geometry of double Hurwitz numbers
Ian Goulden, David Jackson, Ravi Vakil
Double Hurwitz numbers count branched covers of the projective line with fixed branch points, with simple branching required over all but two points 0 and infinity, and the branchi…
Relative virtual localization and vanishing of tautological classes on moduli spaces of curves
Tom Graber, Ravi Vakil
We prove a localization formula for the moduli space of stable relative maps. As an application, we prove that all codimension i tautological classes on the moduli space of stable…
A geometric Littlewood-Richardson rule
Ravi Vakil
We describe an explicit geometric Littlewood-Richardson rule, interpreted as deforming the intersection of two Schubert varieties so that they break into Schubert varieties. There…
Schubert induction
Ravi Vakil
We describe a Schubert induction theorem, a tool for analyzing intersections on a Grassmannian over an arbitrary base ring. The key ingredient in the proof is the Geometric Littlew…