English

Strong Lefschetz property under reduction

Symplectic Geometry 2007-05-23 v2 Differential Geometry

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.

Keywords

Cite

@article{arxiv.math/0605737,
  title  = {Strong Lefschetz property under reduction},
  author = {River Chiang and Eugene Z. Xia},
  journal= {arXiv preprint arXiv:math/0605737},
  year   = {2007}
}

Comments

9 pages. Added some computation details