English

The master relation for polynomiality and equivalences of integrable systems

Algebraic Geometry 2025-04-07 v1

Abstract

We prove the so-called master relation in the tautological ring of the moduli space of curves that implies polynomial properties of the Dubrovin-Zhang hierarchies associated to different versions of cohomological field theories as well as their equivalences to the corresponding double ramification hierarchies.

Keywords

Cite

@article{arxiv.2406.16632,
  title  = {The master relation for polynomiality and equivalences of integrable systems},
  author = {Xavier Blot and Adrien Sauvaget and Sergey Shadrin},
  journal= {arXiv preprint arXiv:2406.16632},
  year   = {2025}
}
R2 v1 2026-06-28T17:17:17.202Z