ENGLISH

Renormalization and 3-Manifolds Which Fiber over the Circle

By Curtis T. McMullen

Book information

Publisher
Princeton University Press
Year
1996
ISBN
0691011540, 9780691011547, 0691011532
LCC
QA613 .M42 1996
Open Library ID
OL981489M
Language
english
Format
DJVU
Filesize
7 MB (7331298 bytes)
Pages
253\253
DPI
600
Time added
2012-03-17 06:00:00

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.

Similar books