Abstract
We consider trigonometric solutions of the KP hierarchy. It is known that their poles move as particles of the Calogero-Moser model with trigonometric potential. We show that this correspondence can be extended to the level of hierarchies: the evolution of the poles with respect to the -th hierarchical time of the KP hierarchy is governed by a Hamiltonian which is a linear combination of the first higher Hamiltonians of the trigonometric Calogero-Moser hierarchy.
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