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The disk free energy as a solution of the genus-zero open KdV hierarchy
Disk free-energy conjecture. The free energy $F_{\rm disk}$ on a disk can be a solution of this hierarchy.
Conjectureopenfree-energies minimal-gravity open-kdvarXiv posted 2 days ago
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The MKP implication conjecture for open KdV and related equations
Let the bilinear identity of the MKP hierarchy be the identity governing the relevant tau-functions, and let the open KdV hierarchy and the equations cited from the work of Pandhar…
Conjectureopenintegrable-systems intersection-theory open-kdvarXiv posted 2 days ago

The disk free energy as a solution of the genus-zero open KdV hierarchy