Strong Lefschetz property under reduction |
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Authors: | River Chiang Eugene Z. Xia |
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Affiliation: | 1.Department of Mathematics,National Cheng Kung University,Tainan,Taiwan;2.Mathematics Division, National Center for Theoretical Sciences (South) Department of Mathematics,National Cheng Kung University,Tainan,Taiwan |
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Abstract: | Let n > 1 and G be the group SU(n) or Sp(n). This paper constructs compact symplectic manifolds whose symplectic quotient under a Hamiltonian G-action does not inherit the strong Lefschetz property. |
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