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arXiv · 2406.16632

The master relation for polynomiality and equivalences of integrable systems

Xavier Blot·Adrien Sauvaget·Sergey Shadrin
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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.

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Xavier Blot, Adrien Sauvaget, Sergey Shadrin. 2024-06-24. The master relation for polynomiality and equivalences of integrable systems. https://doi.org/10.1112/blms.13215

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