485 citations · 2.2k across the 62 of their papers we have counts for
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Counting meromorphic differentials on
Alexandr Buryak, Paolo Rossi
We give explicit formulas for the number of meromorphic differentials on with two zeros and any number of residueless poles and for the number of meromorphic differ…
Moduli spaces of residueless meromorphic differentials and the KP hierarchy
Alexandr Buryak, Paolo Rossi, Dimitri Zvonkine
We prove that the cohomology classes of the moduli spaces of residueless meromorphic differentials, i.e., the closures, in the moduli space of stable curves, of the loci of smooth…
Semisimple flat F-manifolds in higher genus
Alessandro Arsie, Alexandr Buryak, Paolo Lorenzoni +1
In this paper, we generalize the Givental theory for Frobenius manifolds and cohomological field theories to flat F-manifolds and F-cohomological field theories. In particular, we…
Quadratic double ramification integrals and the noncommutative KdV hierarchy
Alexandr Buryak, Paolo Rossi
In this paper we compute the intersection number of two double ramification cycles (with different ramification profiles) and the top Chern class of the Hodge bundle on the moduli…
Extended -spin theory in all genera and the discrete KdV hierarchy
Alexandr Buryak, Paolo Rossi
In this paper we construct a family of cohomology classes on the moduli space of stable curves generalizing Witten's -spin classes. They are parameterized by a phase space which…
DR/DZ equivalence conjecture and tautological relations
Alexandr Buryak, Jérémy Guéré, Paolo Rossi
In this paper we present a family of conjectural relations in the tautological ring of the moduli spaces of stable curves which implies the strong double ramification/Dubrovin-Zhan…