Teichmüller Theory
Author | : John H. Hubbard |
Publisher | : |
Total Pages | : 459 |
Release | : |
Genre | : |
ISBN | : |
Download Teichmüller Theory Book in PDF, Epub and Kindle
Download and Read Teichmuller Theory And Applications To Geometry Topology And Dynamics full books in PDF, ePUB, and Kindle. Read online free Teichmuller Theory And Applications To Geometry Topology And Dynamics ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Author | : John H. Hubbard |
Publisher | : |
Total Pages | : 459 |
Release | : |
Genre | : |
ISBN | : |
Author | : John Hamal Hubbard |
Publisher | : |
Total Pages | : 262 |
Release | : 2006 |
Genre | : Homeomorphisms |
ISBN | : 9781943863006 |
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 2006 |
Genre | : Homeomorphisms |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 2006 |
Genre | : Homeomorphisms |
ISBN | : |
Author | : Athanase Papadopoulos |
Publisher | : European Mathematical Society |
Total Pages | : 888 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 9783037190555 |
This multi-volume set deals with Teichmuller theory in the broadest sense, namely, as the study of moduli space of geometric structures on surfaces, with methods inspired or adapted from those of classical Teichmuller theory. The aim is to give a complete panorama of this generalized Teichmuller theory and of its applications in various fields of mathematics. The volumes consist of chapters, each of which is dedicated to a specific topic. The volume has 19 chapters and is divided into four parts: The metric and the analytic theory (uniformization, Weil-Petersson geometry, holomorphic families of Riemann surfaces, infinite-dimensional Teichmuller spaces, cohomology of moduli space, and the intersection theory of moduli space). The group theory (quasi-homomorphisms of mapping class groups, measurable rigidity of mapping class groups, applications to Lefschetz fibrations, affine groups of flat surfaces, braid groups, and Artin groups). Representation spaces and geometric structures (trace coordinates, invariant theory, complex projective structures, circle packings, and moduli spaces of Lorentz manifolds homeomorphic to the product of a surface with the real line). The Grothendieck-Teichmuller theory (dessins d'enfants, Grothendieck's reconstruction principle, and the Teichmuller theory of the solenoid). This handbook is an essential reference for graduate students and researchers interested in Teichmuller theory and its ramifications, in particular for mathematicians working in topology, geometry, algebraic geometry, dynamical systems and complex analysis. The authors are leading experts in the field.
Author | : Carlos Matheus Silva Santos |
Publisher | : Springer |
Total Pages | : 132 |
Release | : 2018-07-09 |
Genre | : Mathematics |
ISBN | : 3319921592 |
This book is a remarkable contribution to the literature on dynamical systems and geometry. It consists of a selection of work in current research on Teichmüller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates the dynamics of the Teichmüller flow, presenting several self-contained chapters, each addressing a different aspect on the subject. The author includes innovative expositions, all the while solving open problems, constructing examples, and supplementing with illustrations. This book is a rare find in the field with its guidance and support for readers through the complex content of moduli spaces and Teichmüller Theory. The author is an internationally recognized expert in dynamical systems with a talent to explain topics that is rarely found in the field. He has created a text that would benefit specialists in, not only dynamical systems and geometry, but also Lie theory and number theory.
Author | : John H. Hubbard |
Publisher | : |
Total Pages | : 490 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9780971576629 |
Author | : Yoichi Imayoshi |
Publisher | : Springer Science & Business Media |
Total Pages | : 291 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 4431681744 |
This book offers an easy and compact access to the theory of TeichmA1/4ller spaces, starting from the most elementary aspects to the most recent developments, e.g. the role this theory plays with regard to string theory. TeichmA1/4ller spaces give parametrization of all the complex structures on a given Riemann surface. This subject is related to many different areas of mathematics including complex analysis, algebraic geometry, differential geometry, topology in two and three dimensions, Kleinian and Fuchsian groups, automorphic forms, complex dynamics, and ergodic theory. Recently, TeichmA1/4ller spaces have begun to play an important role in string theory. Imayoshi and Taniguchi have attempted to make the book as self-contained as possible. They present numerous examples and heuristic arguments in order to help the reader grasp the ideas of TeichmA1/4ller theory. The book will be an excellent source of information for graduate students and reserachers in complex analysis and algebraic geometry as well as for theoretical physicists working in quantum theory.
Author | : William Goldman |
Publisher | : World Scientific |
Total Pages | : 362 |
Release | : 2012-06-18 |
Genre | : Mathematics |
ISBN | : 9814401374 |
This volume is based on lectures given at the highly successful three-week Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010.Aimed at graduate students in the early stages of research, the edited and refereed articles comprise an excellent introduction to the subject of the program, much of which is otherwise available only in specialized texts. Topics include hyperbolic structures on surfaces and their degenerations, applications of ping-pong lemmas in various contexts, introductions to Lorenzian and complex hyperbolic geometry, and representation varieties of surface groups into PSL(2, ℝ) and other semi-simple Lie groups. This volume will serve as a useful portal to students and researchers in a vibrant and multi-faceted area of mathematics.
Author | : Frederick P. Gardiner |
Publisher | : American Mathematical Soc. |
Total Pages | : 396 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0821819836 |
The Teichmüller space T(X) is the space of marked conformal structures on a given quasiconformal surface X. This volume uses quasiconformal mapping to give a unified and up-to-date treatment of T(X). Emphasis is placed on parts of the theory applicable to noncompact surfaces and to surfaces possibly of infinite analytic type. The book provides a treatment of deformations of complex structures on infinite Riemann surfaces and gives background for further research in many areas. These include applications to fractal geometry, to three-dimensional manifolds through its relationship to Kleinian groups, and to one-dimensional dynamics through its relationship to quasisymmetric mappings. Many research problems in the application of function theory to geometry and dynamics are suggested.