Journal of Symplectic Geometry

Volume 13 (2015)

Number 4

Upper bound for the Gromov width of flag manifolds

Pages: 745 – 764



Alexander Caviedes Castro (Department of Mathematics, University of Toronto, Ontario, Canada)


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.

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Published 17 March 2016