4 problems

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Camassa--Holm realization conjecture for the local DR hierarchy
Let $a_2\in\mathbb{C}$ and set … Consider the corresponding local DR hierarchy and its particular flow. Camassa--Holm realization conjecture. There is a unique choice of…
Conjectureopencamassa-holm-equation double-ramification-hierarchies integrable-systemsarXiv posted 2 days ago
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Bihamiltonian coefficient-recursion conjecture for the local DR hierarchy
Consider the formal PDE referred to in the source as equation … mathcal{P}1^{[0]}neq0,qquad mathcal{P}2^{[0]}neqlambdamathcal{P}1^{[0]}quadtext{for every }lambdainmathbb{C}. … biha…
Conjectureopenbihamiltonian-systems double-ramification-hierarchies integrable-systemsarXiv posted 2 days ago
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Bihamiltonian rank-1 F-CohFT DR hierarchy parameter conjecture
Let a rank- $1$ F-CohFT be parameterized by … and let its associated DR hierarchy be in the normal form with constant Miura invariants. Bihamiltonian DR hierarchy parameter conjectu…
Conjectureopendouble-ramification-hierarchies f-cohfts integrable-systemsarXiv posted 2 days ago
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Bihamiltonian rank-1 F-CohFT DR hierarchy conjecture
Rank- $1$ F-CohFTs are parameterized by an $R$ -matrix … The associated double ramification (DR) hierarchies are integrable perturbations of the Riemann--Hopf hierarchy. Bihamiltonia…
Conjectureopendouble-ramification-hierarchies f-cohfts integrable-systemsarXiv posted 2 days ago

Camassa--Holm realization conjecture for the local DR hierarchy