Geometry of Integrable Systems Related to the Restricted Grassmannian

Published 31 Jul 2024 in nlin.SI, math-ph, and math.MP | (2407.21605v2)

Abstract: A hierarchy of differential equations on a Banach Lie-Poisson space related to the restricted Grassmannian is studied. Flows on the groupoid of partial isometries and on the restricted Grassmannian are described, and a momentum map picture is presented.

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