3 problems

Let $w^\alpha$ be the coordinates obtained from the Dubrovin–Zhang quasi-Miura transformation of the dispersionless hierarchy, and consider the transformed equations, Hamiltonians…

Dubrovin–Zhang hierarchy conjecture. (1) For every $1\leq\alpha,\beta\leq N$ and $a,b\geq0$, there is $\Omega_{\alpha,a;\beta,b}\in\widehat{\mathcal A}_{w;0}$ such that

Let a semi-simple cohomological field theory, equivalently a semi-simple Dubrovin–Frobenius manifold, define a Dubrovin–Zhang hierarchy. Under an extra assumption of homogeneity, D…