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Upper bound for the Gromov width of coadjoint orbits of compact Lie groups

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arxiv 1404.4647 v4 pith:Q7ZOH67B submitted 2014-04-17 math.SG

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keywords gromovboundcoadjointcompactgroupsorbitsupperwidth
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We find an upper bound for the Gromov width of coadjoint orbits of compact Lie groups with respect to the Kirillov Kostant Souriau form by computing certain Gromov Witten invariants, the approach presented here is closely related to the one used by Gromov in his celebrated nonsqueezing theorem.

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  1. Symplectic torus actions with non-contractible orbits

    math.SG 2026-07 accept novelty 8.0 of 10

    A symplectic T^{n−1} action on a closed 2n-manifold is Hamiltonian precisely when its orbits are contractible.

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