English

Towards a bihamiltonian structure for the double ramification hierarchy

Mathematical Physics 2021-06-01 v2 Algebraic Geometry math.MP

Abstract

We propose a remarkably simple and explicit conjectural formula for a bihamiltonian structure of the double ramification hierarchy corresponding to an arbitrary homogeneous cohomological field theory. Various checks are presented to support the conjecture.

Keywords

Cite

@article{arxiv.2007.00846,
  title  = {Towards a bihamiltonian structure for the double ramification hierarchy},
  author = {Alexandr Buryak and Paolo Rossi and Sergey Shadrin},
  journal= {arXiv preprint arXiv:2007.00846},
  year   = {2021}
}

Comments

v2: minor improvements of the exposition, several typos corrected, 28 pages, accepted for publication in the Letters of Mathematical Physics

R2 v1 2026-06-23T16:47:18.120Z