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
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.
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
@article{10_4153_CMB_2002_016_0,
author = {Przytycki, J\'ozef H. and Rosicki, Witold},
title = {The {Topological} {Interpretation} of the {Core} {Group} of a {Surface} in {S} 4},
journal = {Canadian mathematical bulletin},
pages = {131--137},
year = {2002},
volume = {45},
number = {1},
doi = {10.4153/CMB-2002-016-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-016-0/}
}
TY - JOUR AU - Przytycki, Józef H. AU - Rosicki, Witold TI - The Topological Interpretation of the Core Group of a Surface in S 4 JO - Canadian mathematical bulletin PY - 2002 SP - 131 EP - 137 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-016-0/ DO - 10.4153/CMB-2002-016-0 ID - 10_4153_CMB_2002_016_0 ER -
%0 Journal Article %A Przytycki, Józef H. %A Rosicki, Witold %T The Topological Interpretation of the Core Group of a Surface in S 4 %J Canadian mathematical bulletin %D 2002 %P 131-137 %V 45 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-016-0/ %R 10.4153/CMB-2002-016-0 %F 10_4153_CMB_2002_016_0
Cité par Sources :