|
|||
|
|
|
|
|
|
|
|
|
Canonical decompositions of
3–manifolds
Walter D Neumann and Gadde A Swarup |
|
Geometry & Topology 1 (1997) 21–40
|
|
DOI: 10.2140/gt.1997.1.21
|
|
arXiv: math.GT/9712227 |
Abstract |
|
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. |
Keywords
3–manifold, torus decomposition, JSJ–decomposition, Seifert
manifold, simple manifold
|
Mathematical Subject Classification
Primary: 57N10, 57M99
Secondary: 57M35
|
References |
Forward citations |
Publication
Received: 25 February 1997
Accepted: 27 July 1997
Published: 30 July 1997
Proposed: David Gabai
Seconded: Robion Kirby, Ronald Stern
|
Authors |
| Walter D Neumann | |
| Department of Mathematics The University of Melbourne Parkville Victoria 3052 Australia |
|
| Gadde A Swarup | |
| Department of Mathematics The University of Melbourne Parkville Victoria 3052 Australia |
|
|
