485 citations · 2.2k across the 62 of their papers we have counts for
64 papers
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…
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…
Equivariant and supersymmetric localization in QFT
Paolo Rossi
Equivariant localization theory is a powerful tool that has been extensively used in the past thirty years to elegantly obtain exact integration formulas, in both mathematics and p…
Flat F-manifolds, F-CohFTs, and integrable hierarchies
Alessandro Arsie, Alexandr Buryak, Paolo Lorenzoni +1
We define the double ramification hierarchy associated to an F-cohomological field theory and use this construction to prove that the principal hierarchy of any semisimple (homogen…
Towards a bihamiltonian structure for the double ramification hierarchy
Alexandr Buryak, Paolo Rossi, Sergey Shadrin
We propose a remarkably simple and explicit conjectural formula for a bihamiltonian structure of the double ramification hierarchy corresponding to an arbitrary homogeneous cohomol…