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Surgery and involutions on 4-manifolds. (English) Zbl 1084.57017
The 4 dimensional surgery theorem is known to be equivalent to the existence of a family of canonical 4-manifolds with free fundamental group. This paper shows that by passing to a double cover these canonical problems can be solved. This reformulates the surgery conjecture in terms of existence of free involutions on a class of 4-manifolds.
MSC:
57N13 Topology of the Euclidean \(4\)-space, \(4\)-manifolds (MSC2010)
57M10 Covering spaces and low-dimensional topology
57M60 Group actions on manifolds and cell complexes in low dimensions
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