Tomasz Goliński, Alice Barbora Tumpach, “Geometry of Integrable Systems Related to the Restricted Grassmannian”, SIGMA, 2024, Volume 20,104, 18 pp.

This article is cited in 1 paper

Geometry of Integrable Systems Related to the Restricted Grassmannian

Tomasz Goliński^a, Alice Barbora Tumpach^b

^a University of Bialystok, Ciolkowskiego 1M, 15-245 Bialystok, Poland
^b Institut CNRS Pauli, UMI CNRS 2842, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria

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: integrable systems, momentum map, Banach Lie–Poisson spaces, partial isometries, restricted Grassmannian, Magri method.

MSC: 70H06, 53D20, 53D17, 46T05, 47B10

Received: August 1, 2024; in final form November 12, 2024; Published online November 22, 2024

Language: English

DOI: 10.3842/SIGMA.2024.104