Journal of Symplectic Geometry
Volume 13 (2015)
Upper bound for the Gromov width of flag manifolds
Pages: 745 – 764
We find an upper bound for the Gromov width of coadjoint orbits of $U(n)$ with respect to the Kirillov–Kostant–Souriau symplectic form by computing certain Gromov–Witten invariants. The approach presented here is closely related to the one used by Gromov in his celebrated non-squeezing theorem.