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Symplectic convexity for orbifolds

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Abstract

Let a connected compact Lie group G act on a connected symplectic orbifold of orbifold fundamental group Γ. If the action preserves the symplectic structure and there is a G-equivariant and mod-Γ proper momentum map for the lifted action on the universal branch covering orbifold, and if the lifted G-action commutes with that of Γ, then the symplectic convexity theorem is still true for this kind of lifted Hamiltonian action.

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  1. Mathematical Department, Tsinghua University, Beijing, 100084, P. R. China

    Qi Lin Yang

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  1. Qi Lin Yang
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Yang, Q.L. Symplectic convexity for orbifolds. Acta. Math. Sin.-English Ser. 24, 555–564 (2008). https://doi.org/10.1007/s10114-007-5234-9

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  • DOI: https://doi.org/10.1007/s10114-007-5234-9

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