https://neckpinch.com/authors/john-morgan/New arXiv papers by John Morgan, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/0809.4040arxiv:0809.4040Tue, 23 Sep 2008 00:00:00 GMTJohn Morgan, Gang Tian — This article is a sequel to the book `Ricci Flow and the Poincare Conjecture' by the same authors. Using the main results of that book we establish the Geometrization Conjecture for all compact, orientable three-manifolds following the approach indicated by Perelman in his preprints on the subject. This approach is to study the collapsed part of the manifold as time goes to infinity in a Ricci flow with surgery. The main technique for this study is the theory of Alexandrov spaces. This theory gives local models for the collapsed part of the manifold. These local models can be glued together to prove that the collapsed part of the manifold is a graph manifold with incompressible boundary. From this and previous results, geometrization follows easily.Ricci flowSurgeryPoincaré conjectureGeometrization3-manifoldsDiscrete & graph Ricci https://arxiv.org/abs/math/0607607arxiv:math/0607607Tue, 25 Jul 2006 00:00:00 GMTJohn W. Morgan, Gang Tian — This manuscript contains a detailed proof of the Poincare Conjecture. The arguments we present here are expanded versions of the ones given by Perelman in his three preprints posted in 2002 and 2003. This is a revised version taking in account the comments of the referees and others. It has been reformatted in the AMS book style.Ricci flowPoincaré conjecture