A completely integrable system on $G_2$ coadjoint orbits
Symplectic Geometry
2022-11-03 v4
Abstract
We construct a Gelfand-Zeitlin system on a one-parameter family of coadjoint orbits that are multiplicity-free Hamiltonian -spaces. Using this system we prove a lower bound for the Gromov width of these orbits. This lower bound agrees with the known upper bound.
Cite
@article{arxiv.1605.01676,
title = {A completely integrable system on $G_2$ coadjoint orbits},
author = {Jeremy Lane},
journal= {arXiv preprint arXiv:1605.01676},
year = {2022}
}
Comments
although the concept and results are correct, the work has technical flaws which i do not have time to correct