Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142 /

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 ci...

Descripción completa

Detalles Bibliográficos
Autor principal: McMullen, Curtis T. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, New Jersey : Princeton University Press, 1996.
Colección:Book collections on Project MUSE.
Temas:
Three-manifolds (Topology)
Differentiable dynamical systems.
MATHEMATICS > Geometry > Analytic.
MATHEMATICS > Topology.
Dynamique differentiable.
Varietes topologiques à 3 dimensions.
Electronic books.
Acceso en línea:Texto completo
Descripción
Sumario: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 quan.
Descripción Física:1 online resource: illustrations, tables
ISBN:9781400865178

Ejemplares similares