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

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. $b_0(M)\le b_2(M)\le b_4(M)$.

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References in corpus (1)

• Topological properties of Hamiltonian circle actions