7 citations · 11 across the 4 of their papers we have counts for
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An example of crepant resolution conjecture in two steps
Renzo Cavalieri, Gueorgui Todorov
We study the relation among the genus 0 Gromov-Witten theories of the three spaces , where $\mathcal{X}=[\c^2/\z_3]$, is…
Tautological pairings on moduli spaces of curves
Renzo Cavalieri, Stephanie Yang
We discuss analogs of Faber's conjecture for two nested sequences of partial compactifications of the moduli space of smooth curves. We show that their tautological rings are one-d…
Evaluating tautological classes using only Hurwitz numbers
Aaron Bertram, Renzo Cavalieri, Gueorgui Todorov
Hurwitz numbers count ramified covers of a Riemann surface with prescribed monodromy. As such, they are purely combinatorial objects. Tautological classes, on the other hand, are d…
Generating Functions for Hurwitz-Hodge Integrals
Renzo Cavalieri
In this paper we describe explicit generating functions for a large class of Hurwitz-Hodge integrals. These are integrals of tautological classes on moduli spaces of admissible cov…