Geometry of Integrable Systems Related to the Restricted Grassmannian
Exactly Solvable and Integrable Systems
2024-11-25 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2407.21605,
title = {Geometry of Integrable Systems Related to the Restricted Grassmannian},
author = {Tomasz Goliński and Alice Barbara Tumpach},
journal= {arXiv preprint arXiv:2407.21605},
year = {2024}
}