Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142 e-bog
692,63 DKK
(inkl. moms 865,79 DKK)
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 hyper...
E-bog
692,63 DKK
Forlag
Princeton University Press
Udgivet
8 september 2014
Længde
253 sider
Genrer
PBMS
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
9781400865178
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.