Abstract
AbstractWe give a topological interpretation of the core group invariant of a surface embedded inS4[F-R], [Ro]. We show that the group is isomorphic to the free product of the fundamental group of the double branch cover ofS4with the surface as a branched set, and the infinite cyclic group. We present a generalization for unoriented surfaces, for other cyclic branched covers, and other codimension two embeddings of manifolds in spheres.
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