Strong Lefschetz property under reduction

2006/05/30 by River Chiang, Chiang, River, Eugene Z. Xia +1
Mathematics · #53D20 #58A12 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.math/0605737

openalex publication_date 2006/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Geometric quantization and multiplicities of group representations

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