Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points

Yunhyung Cho; Min Kyu Kim

Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points

Symplectic Geometry 2013-09-06 v1

Authors: Yunhyung Cho , Min Kyu Kim

Abstract

Let $(M,\omega)$ be an eight-dimensional closed symplectic manifold equipped with a Hamiltonian circle action with only isolated fixed points. In this article, we will show that the Betti numbers of $M$ are unimodal, i.e. $b_0(M) \leq b_2(M) \leq b_4(M)$ .

Keywords

symplectic manifold Hamiltonian circle action isolated fixed points Betti numbers unimodality symplectic topology

Cite

@article{arxiv.1309.1322,
  title  = {Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points},
  author = {Yunhyung Cho and Min Kyu Kim},
  journal= {arXiv preprint arXiv:1309.1322},
  year   = {2013}
}

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