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Peer-reviewedCC BYGeometry & Topology

On the strong DR/DZ equivalence conjecture

  • Xavier Blot1
  • Danilo Lewański2
  • Sergey Shadrin1
  1. 1Korteweg-de Vriesinstituut voor Wiskunde, University of Amsterdam, Amsterdam, Netherlands
  2. 2Department of Mathematics, Informatics and Geosciences, University of Trieste, Trieste, Italy
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Abstract

We establish the Miura equivalence between two integrable hierarchies associated to a semisimple 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.

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Cite

BibTeXRIS
BibTeX
@article{blot2026strong,
  title = {{On the strong DR/DZ equivalence conjecture}},
  author = {Xavier Blot and Danilo Lewański and Sergey Shadrin},
  journal = {Geometry \& Topology},
  year = {2026},
  month = oct,
  doi = {10.2140/gt.2026.30.3333},
  url = {https://doi.org/10.2140/gt.2026.30.3333},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - On the strong DR/DZ equivalence conjecture
AU  - Xavier Blot
AU  - Danilo Lewański
AU  - Sergey Shadrin
PY  - 2026
DA  - 2026/10/12
JO  - Geometry & Topology
DO  - 10.2140/gt.2026.30.3333
UR  - https://doi.org/10.2140/gt.2026.30.3333
AB  - We establish the Miura equivalence between two integrable hierarchies associated to a semisimple 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.
SN  - 1364-0380
SN  - 1465-3060
ER  -