The master relation for polynomiality and equivalences of integrable systems

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.

References in corpus (5)

• Double ramification cycles and integrable hierarchies
• Tau-structure for the Double Ramification Hierarchies
• Integrable systems of double ramification type
• DR/DZ equivalence conjecture and tautological relations
• Tautological relations and integrable systems

Cited by in corpus (1)

• A new spin on polynomial relations among kappa classes