Mathematical Research Letters
Volume 21 (2014)
Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points
Pages: 691 – 696
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., $b_0 (M) \leq b_2 (M) \leq b_4 (M)$.