Towards a bihamiltonian structure for the double ramification hierarchy

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.

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

References in corpus (2)

• Double ramification cycles and integrable hierarchies
• Quantum $D_4$ Drinfeld-Sokolov hierarchy and quantum singularity theory

Cited by in corpus (2)

• Flat F-manifolds, F-CohFTs, and integrable hierarchies
• Bi-Hamiltonian recursion, Liu-Pandharipande relations, and vanishing terms of the second Dubrovin-Zhang bracket