67 citations · 510 across the 48 of their papers we have counts for
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Towards a description of the double ramification hierarchy for Witten's -spin class
Alexandr Buryak, Jérémy Guéré
The double ramification hierarchy is a new integrable hierarchy of hamiltonian PDEs introduced recently by the first author. It is associated to an arbitrary given cohomological fi…
ILW equation for the Hodge integrals revisited
A. Buryak
In a previous paper we proved that after a simple transformation the generating series of the linear Hodge integrals on the moduli space of stable curves satisfies the hierarchy of…
Double ramification cycles and quantum integrable systems
A. Buryak, P. Rossi
In this paper we define a quantization of the Double Ramification Hierarchies of [Bur15b] and [BR14], using intersection numbers of the double ramification cycle, the full Chern cl…
The hypergeometric functions of the Faber-Zagier and Pixton relations
A. Buryak, F. Janda, R. Pandharipande
The relations in the tautological ring of the moduli space M_g of nonsingular curves conjectured by Faber-Zagier in 2000 and extended to the moduli space of stable pointed curves b…
Matrix models and a proof of the open analog of Witten's conjecture
Alexandr Buryak, Ran J. Tessler
In a recent work, R. Pandharipande, J. P. Solomon and the second author have initiated a study of the intersection theory on the moduli space of Riemann surfaces with boundary. The…