2 problems

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Topological deformation conjecture for the extended Ablowitz–Ladik hierarchy
Let $M$ be the generalized Frobenius manifold with potential defining the extended Ablowitz–Ladik hierarchy. Let … be the solution to the loop equation of $M$ , and suppose that…
Conjectureopenablowitz-ladik-hierarchy generalized-frobenius-manifolds integrable-systemsarXiv posted 3 days ago
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Toeplitz-reduction conjecture for the modified melting crystal tau function
Let $\tau'(s,\boldsymbol{t},\hat{\boldsymbol{t}})$ be the tau function of the modified melting crystal model, viewed as a tau function of the 2D Toda hierarchy. The Toeplitz reduct…
Conjectureopen2d-toda-hierarchy ablowitz-ladik-hierarchy integrable-systemsarXiv posted 3 days ago

Topological deformation conjecture for the extended Ablowitz–Ladik hierarchy