# Hamiltonian S^1-spaces with large equivariant pseudo-index

18 Mar 2019 Charton Isabelle

Let $$(M,\omega)$$ be a compact symplectic manifold of dimension $$2n$$ endowed with a Hamiltonian circle action with only isolated fixed points. Whenever $$M$$ admits a toric $$1$$-skeleton $$\mathcal{S}$$, which is a special collection of embedded $$2$$-spheres in $$M$$, we define the notion of equivariant pseudo-index of $$\mathcal{S}$$: this is the minimum of the evaluation of the first Chern class $$c_1$$ on the spheres of $$\mathcal{S}$$... (read more)

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