67 citations · 510 across the 48 of their papers we have counts for
6 papers · 1 filter
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…
Open topological recursion relations in genus and integrable systems
Oscar Brauer, Alexandr Buryak
The paper is devoted to the open topological recursion relations in genus 1, which are partial differential equations that conjecturally control open Gromov-Witten invariants in ge…
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…
Open r-spin theory I: Foundations
Alexandr Buryak, Emily Clader, Ran J. Tessler
We lay the foundation for a version of -spin theory in genus zero for Riemann surfaces with boundary. In particular, we define the notion of -spin disks, their moduli space,…
Open descendent theory I: The stationary sector
Alexandr Buryak, Amitai Netser Zernik, Rahul Pandharipande +1
We define stationary descendent integrals on the moduli space of stable maps from disks to . We prove a localization formula for the stationary theor…
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…