160 citations · 1.4k across the 97 of their papers we have counts for
4 papers · 2 filters
Top tautological group of
A. Buryak, S. Shadrin, D. Zvonkine
We describe the structure of the top tautological group in the cohomology of the moduli space of smooth genus curves with marked points.
Polynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula
Petr Dunin-Barkowski, Maxim Kazarian, Nicolas Orantin +2
In this paper we give a new proof of the ELSV formula. First, we refine an argument of Okounkov and Pandharipande in order to prove (quasi-)polynomiality of Hurwitz numbers without…
Equivalence of ELSV and Bouchard-Mariño conjectures for -spin Hurwitz numbers
S. Shadrin, L. Spitz, D. Zvonkine
We propose two conjectures on Huwritz numbers with completed -cycles, or, equivalently, on certain relative Gromov-Witten invariants of the projective line. The conjectures…
The spectral curve and the Schroedinger equation of double Hurwitz numbers and higher spin structures
Motohico Mulase, Sergey Shadrin, Loek Spitz
We derive the spectral curves for -part double Hurwitz numbers, -spin simple Hurwitz numbers, and arbitrary combinations of these cases, from the analysis of the unstable (0,…