Thurston’s Vision and the Virtual Fibering Theorem for 3-Manifolds

  title={Thurston’s Vision and the Virtual Fibering Theorem for 3-Manifolds},
  author={Stefan Friedl},
  journal={Jahresbericht der Deutschen Mathematiker-Vereinigung},
  • Stefan Friedl
  • Published 24 September 2014
  • Mathematics
  • Jahresbericht der Deutschen Mathematiker-Vereinigung
The vision and results of William Thurston (1946–2012) have shaped the theory of 3-dimensional manifolds for the last four decades. The high point was Perelman’s proof of Thurston’s Geometrization Conjecture which reduced 3-manifold topology for the most part to the study of hyperbolic 3-manifolds. In 1982 Thurston gave a list of 24 questions and challenges on hyperbolic 3-manifolds. The most daring one came to be known as the Virtual Fibering Conjecture. We will give some background for the… 
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