40 citations · 71 across the 2 of their papers we have counts for
7 papers
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,…
Integrals of psi-classes over double ramification cycles
A. Buryak, S. Shadrin, L. Spitz +1
DR-cycles are certain cycles on the moduli space of curves. Intuitively, they parametrize curves that allow a map to \mathbb{P}^1 with some specified ramification profile over two…
Identification of the Givental formula with the spectral curve topological recursion procedure
P. Dunin-Barkowski, N. Orantin, S. Shadrin +1
We identify the Givental formula for the ancestor formal Gromov-Witten potential with a version of the topological recursion procedure for a collection of isolated local germs of t…
Givental graphs and inversion symmetry
P. Dunin-Barkowski, S. Shadrin, L. Spitz
Inversion symmetry is a very non-trivial discrete symmetry of Frobenius manifolds. It was obtained by Dubrovin from one of the elementary Schlesinger transformations of a special O…