Word hyperbolic Dehn surgery

  title={Word hyperbolic Dehn surgery},
  author={Marc Lackenby},
  journal={Inventiones mathematicae},
  • M. Lackenby
  • Published 28 August 1998
  • Mathematics
  • Inventiones mathematicae
In the late 1970’s, Thurston dramatically changed the nature of 3-manifold theory with the introduction of his Geometrisation Conjecture, and by proving it in the case of Haken 3-manifolds [23]. The conjecture for general closed orientable 3-manifolds remains perhaps the most important unsolved problem in the subject. A weaker form of the conjecture [19] deals with the fundamental group of a closed orientable 3-manifold. It proposes that either it contains Z ⊕ Z as a subgroup or it is word… 

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William P. Thurston: “Three-dimensional manifolds, Kleinian groups and hyperbolic geometry”

  • J. Otal
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    Jahresbericht der Deutschen Mathematiker-Vereinigung
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This paper is the written version of a talk that Thurston gave at the AMS Symposium on the Mathematical Heritage of Henri Poincaré held at Bloomington in April 1980. It is a Research announcement.1

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