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Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142

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ISBN-10: 1400865174

ISBN-13: 9781400865178

Edition: 1996

Authors: Curtis T. McMullen

List price: $178.25
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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 dynamics, it motivates the construction of towers of quadratic-like maps, and leads to a quantitative proof of convergence of renormalization.
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Book details

List price: $178.25
Copyright year: 1996
Publisher: Princeton University Press
Publication date: 9/8/2014
Pages: 253
Language: English