Equivariant annulus theorem for 3-manifolds
The author uses an existence theorem of equivariant annuli to construct a simple example of a 3-manifold admitting no finite group action. More precisely, consider two prime knots \(K_ 1\) and \(K_ 2\) with nonhomeomorphic exteriors, such that \(K_ 1\) is not strongly negative amphicheiral and \(K_ 2\) is not strongly invertible; then the exterior of the connected sum \(K_ 1\#K_ 2\) admits no finite group action.
scientific article; zbMATH DE number 3909361
scientific article