Geometry of integrable systems related to the restricted Grassmannian

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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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Goliński et al. (Wed,) studied this question.

synapsesocial.com/papers/68e5e6e9b6db64358757b476 https://doi.org/https://doi.org/10.48550/arxiv.2407.21605

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