Renormalization and 3-manifolds which fiber over the circle /

Renormalization and 3-manifolds which fiber over the circle /

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Bibliographic Details
Author / Creator:	McMullen, Curtis T.
Imprint:	Princeton, NJ : Princeton University Press, 1996.
Description:	vii, 253 p.
Language:	English
Series:	Annals of mathematics studies ; 142 Annals of mathematics studies ; no. 142.
Subject:	Three-manifolds (Topology) Differentiable dynamical systems. Differentiable dynamical systems. Three-manifolds (Topology)
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/2499935

Hidden Bibliographic Details
ISBN:	0691011540 (cl : alk. paper) 0691011532 (pb : alk. paper)
Notes:	Includes bibliographical references and index.

Description
Summary:	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.
Physical Description:	vii, 253 p.
Bibliography:	Includes bibliographical references and index.
ISBN:	0691011540 0691011532