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Appears in collection : Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexe

W. Thurston's theorems almost all aim to give a purely topological problem an appropriate geometry, or to identify an appropriate obstruction.. We will illustrate this in two examples: --The Thurston pullback map to make a rational map from a post-critically finite branched cover of the sphere, and --The skinning lemma, to find a hyperbolic structure for a Haken 3-manifold. In both cases, either the relevant map on Teichmüller space has a fixed point, solving the geometrization problem, or there is an obstruction consisting a multicurve.

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Citation data

  • DOI 10.24350/CIRM.V.19812603
  • Cite this video Hubbard, John H. (20/09/2021). Introduction to Thurston's theorems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19812603
  • URL https://dx.doi.org/10.24350/CIRM.V.19812603

Bibliography

  • Hubbard, Teichmüller theory vols 1-4, Matrix editions -

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