Geometry & Topology· 2026Q1
On the strong DR/DZ equivalence conjecture
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- Q1SCImago
- 2026year
Short summary
The Miura equivalence between the double ramification (DR) hierarchy and the Dubrovin-Zhang (DZ) hierarchy of integrable systems has been established.
AI-generated from the title and abstract; the full text is not read.
Key points
- Established the Miura equivalence between the DR and DZ hierarchies.
- Both hierarchies are associated with semi-simple cohomological field theories.
- Confirms a conjecture refined by Buryak, Dubrovin, Guéré, and Rossi.
AI-generated from the title and abstract; the full text is not read.
Abstract
We establish the Miura equivalence of two integrable systems associated to a semi-simple cohomological field theory: the double ramification hierarchy of Buryak and the Dubrovin-Zhang hierarchy. This equivalence was conjectured by Buryak and further refined by Buryak, Dubrovin, Guéré, and Rossi.
The authors' abstract, as published at the source. Geometry & Topology, 2026 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics