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arxiv: math/0605737 · v2 · submitted 2006-05-30 · 🧮 math.SG · math.DG

Strong Lefschetz property under reduction

classification 🧮 math.SG math.DG
keywords lefschetzpropertystrongsymplecticundercompactconstructsg-action
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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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