Classification of six dimensional monotone symplectic manifolds admitting semifree circle actions III

Yunhyung Cho

paper

Classification of six dimensional monotone symplectic manifolds admitting semifree circle actions III

arXiv:1905.07292

Abstract

In this paper, we complete the classification of six-dimensional closed monotone symplectic manifolds admitting semifree Hamiltonian $S^{1}$ -actions. We also show that every such manifold is $S^{1}$ -equivariantly symplectomorphic to some Käahler Fano manifold with a certain holomorphic Hamiltonian circle action.

arXiv comment42 pages, 33 figures