67 citations · 510 across the 48 of their papers we have counts for
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Recursion relations for Double Ramification Hierarchies
A. Buryak, P. Rossi
In this paper we study various properties of the double ramification hierarchy, an integrable hierarchy of hamiltonian PDEs introduced in [Bur15] using intersection theory of the d…
Open intersection numbers and the wave function of the KdV hierarchy
A. Buryak
Recently R. Pandharipande, J. Solomon and R. Tessler initiated a study of the intersection theory on the moduli space of Riemann surfaces with boundary. They conjectured that the g…
Equivalence of the open KdV and the open Virasoro equations for the moduli space of Riemann surfaces with boundary
A. Buryak
In a recent paper R. Pandharipande, J. Solomon and R. Tessler initiated a study of the intersection theory on the moduli space of Riemann surfaces with boundary. The authors conjec…
Double ramification cycles and integrable hierarchies
A. Buryak
It this paper we present a new construction of a hamiltonian hierarchy associated to a cohomological field theory. We conjecture that in the semisimple case our hierarchy is relate…