67 citations · 510 across the 48 of their papers we have counts for
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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…
A conjectural formula for
Alexandr Buryak, Francisco Hernández Iglesias, Sergey Shadrin
We propose a conjectural formula for and check all its expected properties. Our formula refines the one point case of a similar conjecture made by the first named…
The bihamiltonian structures of the DR/DZ hierarchies at the approximation up to genus one
Oscar Brauer, Alexandr Buryak
In a recent paper, giving an arbitrary homogeneous cohomological field theory (CohFT), Rossi, Shadrin, and the first author proposed a simple formula for a bracket on the space loc…
Riemannian F-manifolds, bi-flat F-manifolds, and flat pencils of metrics
Alessandro Arsie, Alexandr Buryak, Paolo Lorenzoni +1
In this paper we study relations between various natural structures on F-manifolds. In particular, given an arbitrary Riemannian F-manifold we present a construction of a canonical…