Canonical Decompositions of 3–Manifolds

نویسنده

  • Walter D Neumann
چکیده

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. AMS Classification numbers Primary: 57N10, 57M99

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تاریخ انتشار 1997