Symmetry Groups of Non-simply Connected Four-manifolds
نویسنده
چکیده
LetM be a closed, connected, orientable topological four-manifold with H1(M) nontrivial and free abelian, b2(M) 6= 0, 2, and χ(M) 6= 0. Then the only finite groups which admit homologically trivial, locally linear, effective actions on M are cyclic. The proof uses equivariant cohomology, localization, and a careful study of the first cohomology groups of the (potential) singular set.
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