Renormalization and 3-Manifolds Which Fiber over the Circle

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Renormalization and 3-Manifolds Which...

Renormalization and 3-Manifolds Which Fiber over the Circle

Name: Renormalization and 3-Manifolds Which Fiber over the Circle
ISBN: 9780691011530

Curtis T. McMullen

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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.

درجه (قاطیغوری(:

Mathematics - Geometry and Topology

کال:

1996

خپرندویه اداره:

Princeton University Press

ژبه:

english

صفحه:

253

ISBN 10:

0691011532