Geodesic
Canonical decompositions of 3–manifolds
Neumann, Walter D1 ; Swarup, Gadde A1
1 Department of Mathematics, The University of Melbourne, Parkville, Victoria 3052, Australia
Geometry & topology, Tome 1 (1997) no. 1, pp. 21-40.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We describe a new approach to the canonical decompositions of 3–manifolds along tori and annuli due to Jaco–Shalen and Johannson (with ideas from Waldhausen) – the so-called JSJ–decomposition theorem. This approach gives an accessible proof of the decomposition theorem; in particular it does not use the annulus–torus theorems, and the theory of Seifert fibrations does not need to be developed in advance.

DOI : 10.2140/gt.1997.1.21
Keywords: 3–manifold, torus decomposition, JSJ–decomposition, Seifert manifold, simple manifold

Neumann, Walter D 1 ; Swarup, Gadde A 1

1 Department of Mathematics, The University of Melbourne, Parkville, Victoria 3052, Australia 
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Neumann, Walter D; Swarup, Gadde A. Canonical decompositions of 3–manifolds. Geometry & topology, Tome 1 (1997) no. 1, pp. 21-40. doi : 10.2140/gt.1997.1.21. http://geodesic.mathdoc.fr/articles/10.2140/gt.1997.1.21/

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