45 citations · 182 across the 35 of their papers we have counts for
5 papers · 2 filters
Hurwitz theory and the double ramification cycle
Renzo Cavalieri
This survey grew out of notes accompanying a cycle of lectures at the workshop Modern Trends in Gromov-Witten Theory, in Hannover. The lectures are devoted to interactions between…
Tropical compactification and the Gromov--Witten theory of
Renzo Cavalieri, Hannah Markwig, Dhruv Ranganathan
We use tropical and nonarchimedean geometry to study the moduli space of genus stable maps to relative to two points. This space is exhibited as a tropical compa…
Crepant resolutions and open strings II
Andrea Brini, Renzo Cavalieri
We recently formulated a number of Crepant Resolution Conjectures (CRC) for open Gromov-Witten invariants of Aganagic-Vafa Lagrangian branes and verified them for the family of thr…
Moduli spaces of rational weighted stable curves and tropical geometry
Renzo Cavalieri, Simon Hampe, Hannah Markwig +1
We study moduli spaces of rational weighted stable tropical curves, and their connections with the classical Hassett spaces. Given a vector w of weights, the moduli space of tropic…
Tropicalizing the space of admissible covers
Renzo Cavalieri, Hannah Markwig, Dhruv Ranganathan
We study the relationship between tropical and classical Hurwitz moduli spaces. Following recent work of Abramovich, Caporaso and Payne, we outline a tropicalization for the moduli…