Renormalization and 3-Manifolds Which Fiber over the Circle

@inproceedings{McMullen1996RenormalizationA3,
  title={Renormalization and 3-Manifolds Which Fiber over the Circle},
  author={C. McMullen},
  year={1996}
}
Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the circle.Both subjects are studied via geometric limits and rigidity. This approach shows open hyperbolic manifolds are inflexible, and yields quantitative counterparts to Mostow rigidity. In complex… Expand
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References

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Surface groups and 3-manifolds which fiber over the circle
Complex Dynamics and Renormalization
Lectures on Hyperbolic Geometry
The Geometry of Discrete Groups
Rational Maps and Kleinian Groups
Quasiconformal Isotopies
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