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Manifolds with Few Periodic
Kawakubo K Topological S1 and Actions on Spheres
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3-manifolds action T,M acts freely algebraic Aut(N automorphism Bieberbach class bundle centerless Charlap action choose closed aspherical manifold closed oriented cocycle cohomology commutes compact complex torus complex torus action construction Corollary crossed homomorphism cyclic group defined denote derived actions det(I diffeomorphisms element epimorphism equivalent equivariant equivariantly examples fibre finite group finite order fixed point set follows fundamental group given group extension hence holomorphic action holomorphic map holomorphically injective homologically injective homotopy induced injective action integer isomorphic isotropy subgroup Kaehler kernel Lemma lens space matrix monomorphism morphism non-trivial normal subgroup orbit space orientation preserving Out(ir Out(L P.E. Conner polynomial Proof properly discontinuous action properly discontinuous group quotient Seifert fiberings semi-direct product sheaf short exact sequence simply connected singular orbits spectral sequence stability groups structure group Suppose Theorem topological toral torsion torsionless trivial universal covering