160 citations · 1.4k across the 97 of their papers we have counts for
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Quantum spectral curve for the Gromov-Witten theory of the complex projective line
Petr Dunin-Barkowski, Motohico Mulase, Paul Norbury +2
We construct the quantum curve for the Gromov-Witten theory of the complex projective line.
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…
Givental Action and Trivialisation of Circle Action
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
In this paper, we show that the Givental group action on genus zero cohomological field theories, also known as formal Frobenius manifolds or hypercommutative algebras, naturally a…
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,…