Homologically Trivial Group Actions on 4-Manifolds

Details Homologically Trivial Group Actions on 4-Manifolds Homologically Trivial Group Actions on 4-Manifolds

1998-09-10

arxiv.org/abs/math/9809055v1

Mathematics

Geometric Topology

14 pages

Scientific paper

It is proved that an arbitrary finite group acting locally linearly,
homologically trivially, and pseudofreely on a closed, simply connected
4-manifold must in fact be cyclic and act semifreely, provided the second betti
number of the manifold is at least three.

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