Geodesic
The Topological Interpretation of the Core Group of a Surface in S 4
Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 131-137

Voir la notice de l'article provenant de la source Cambridge University Press

We give a topological interpretation of the core group invariant of a surface embedded in ${{S}^{4}}\,\left[ \text{F-R} \right],\,\left[ \text{Ro} \right]$ . We show that the group is isomorphic to the free product of the fundamental group of the double branch cover of ${{S}^{4}}$ with 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.
DOI : 10.4153/CMB-2002-016-0
Mots-clés : 57Q45, 57M12, 57M05 
Przytycki, Józef H.; Rosicki, Witold. The Topological Interpretation of the Core Group of a Surface in S 4. Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 131-137. doi: 10.4153/CMB-2002-016-0
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-016-0/}
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