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Princeton University Press Renormalization and 3-Manifolds Which Fiber over the Circle: 142 (Annals of Mathematics Studies, 142)

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Description

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.

Product Specifications

Format
paperback
Domain
Amazon UK
Publication Date
28 July 1996
Listed Since
09 February 2007

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