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Journal of Lie Theory 26 (2016), No. 3, 821--860
Copyright Heldermann Verlag 2016

Upper Bound for the Gromov Width of Coadjoint Orbits of Compact Lie Groups

Alexander Caviedes Castro
63 St George Street, Toronto, Ont. M5S 2E5, Canada

We find an upper bound for the Gromov width of coadjoint orbits of compact Lie groups with respect to the Kostant-Kirillov-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.

Keywords: Gromov-Witten invariants, Gromov's width, coadjoint orbits, Schubert varieties.

MSC: 53D45, 57R17, 14M15

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