Equivariant cohomological rigidity holds for compact, connected, four-dimensional Hamiltonian S1-manifolds: every algebra isomorphism of equivariant cohomology rings is induced by an equivariant diffeomorphism.
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Equivariant cohomological rigidity for four-dimensional Hamiltonian $\mathbf{S^1}$-manifolds
Equivariant cohomological rigidity holds for compact, connected, four-dimensional Hamiltonian S1-manifolds: every algebra isomorphism of equivariant cohomology rings is induced by an equivariant diffeomorphism.