Renormalization and 3-Manifolds Which Fiber over the Circle pdf epub mobi txt 电子书下载 2025

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出版者:Princeton University Press

作者:Curtis T. McMullen

出品人:

页数:253

译者:

出版时间:1996-7-22

价格:USD 95.00

装帧:Hardcover

isbn号码:9780691011547

丛书系列:Annals of Mathematics Studies

图书标签:

量子场论7
数学物理
数学
3-manifolds

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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.