Equivariant cohomology isomorphism plus fixed point data determines the equivariant homeomorphism (or symplectomorphism) type of a semi-free Hamiltonian circle manifold of dimension six, under stated geometric assumptions.
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On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions
Equivariant cohomology isomorphism plus fixed point data determines the equivariant homeomorphism (or symplectomorphism) type of a semi-free Hamiltonian circle manifold of dimension six, under stated geometric assumptions.