The Gromov width of coadjoint orbits of the symplectic group
Symplectic Geometry
2018-04-25 v2
Abstract
We prove that the Gromov width of coadjoint orbits of the symplectic group is at least equal to the upper bound known from the works of Zoghi and Caviedes. This establishes the actual Gromov width. Our work relies on a toric degeneration of a coadjoint orbit to a toric variety. The polytope associated to this toric variety is a string polytope arising from a string parametrization of elements of a crystal basis for a certain representation of the symplectic group.
Keywords
Cite
@article{arxiv.1601.02825,
title = {The Gromov width of coadjoint orbits of the symplectic group},
author = {Iva Halacheva and Milena Pabiniak},
journal= {arXiv preprint arXiv:1601.02825},
year = {2018}
}
Comments
18 pages, 2 figures; A mistake (necessary assumption that \lambda is on a rational line) is now corrected. We have also implemented valuable comments of a referee