Teichmuller Theory And Applications To Geometry Topology And Dynamics Teichmuller Theory

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Teichmüller Theory and Applications to Geometry, Topology, and Dynamics Teichmüller theory

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Author by : John H. Hubbard
Languange Used : English, France, Spanish, Italia and chinese
Page : 459
Isbn : 9780971576629
Identifier : 0971576629
Release : 2006
Publisher by : Matrix Press
Category : Mathematics
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Description : Read Now Teichmuller Theory And Applications To Geometry Topology And Dynamics by John H. Hubbard and you can download with pub, pdf, txt, doc, and more file format with free account. complete self-contained treatment of teichmuller theory, providing the background needed for proving the theorems by williamthurston discussed in volume 2: the classification of homeomorphisms of surfaces, the topological characterization of rational maps, the hyperbolization theorem for 3-manifolds that fiber over the circle, and the hyperbolization theorem for haken 3-manifolds.

Teichmüller Theory and Applications to Geometry, Topology, and Dynamics Teichmüller theory

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Author by : John H. Hubbard
Languange Used : English, France, Spanish, Italia and chinese
Page : 459
Isbn : 9780971576629
Identifier : 0971576629
Release : 2006
Publisher by : Matrix Press
Category : Mathematics
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Handbook of Teichmüller Theory

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Author by : Athanase Papadopoulos
Languange Used : English, France, Spanish, Italia and chinese
Page : 883
Isbn : 9783037190555
Identifier : 3037190558
Release : 2007
Publisher by : European Mathematical Society
Category : Mathematics
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Description : Read Now Handbook Of Teichmuller Theory by Athanase Papadopoulos and you can download with pub, pdf, txt, doc, and more file format with free account. 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.

An Introduction to Teichmüller Spaces

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Author by : Yoichi Imayoshi
Languange Used : English, France, Spanish, Italia and chinese
Page : 279
Isbn : 4431681744
Identifier : 9784431681748
Release : 2012-12-06
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now An Introduction To Teichmuller Spaces by Yoichi Imayoshi and you can download with pub, pdf, txt, doc, and more file format with free account. this book offers an easy and compact access to the theory of teichmüller spaces, starting from the most elementary aspects to the most recent developments, e.g. the role this theory plays with regard to string theory. teichmüller 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, teichmüller 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 teichmüller 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.

A Primer on Mapping Class Groups

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Author by : Benson Farb
Languange Used : English, France, Spanish, Italia and chinese
Page : 472
Isbn : 0691147949
Identifier : 9780691147949
Release : 2012
Publisher by : Princeton University Press
Category : MATHEMATICS
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Description : Read Now A Primer On Mapping Class Groups by Benson Farb and you can download with pub, pdf, txt, doc, and more file format with free account. the study of the mapping class group mod(s) is a classical topic that is experiencing a renaissance. it lies at the juncture of geometry, topology, and group theory. this book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. the book is suitable for graduate students. a primer on mapping class groups begins by explaining the main group-theoretical properties of mod(s), from finite generation by dehn twists and low-dimensional homology to the dehn-nielsen-baer theorem. along the way, central objects and tools are introduced, such as the birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the torelli group. the book then introduces teichmüller space and its geometry, and uses the action of mod(s) on it to prove the nielsen-thurston classification of surface homeomorphisms. topics include the topology of the moduli space of riemann surfaces, the connection with surface bundles, pseudo-anosov theory, and thurston's approach to the classification.

Geometry, Topology and Dynamics of Character Varieties

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Author by : William Goldman
Languange Used : English, France, Spanish, Italia and chinese
Page : 349
Isbn : 9814401366
Identifier : 9789814401364
Release : 2012
Publisher by : World Scientific
Category : Mathematics
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Description : Read Now Geometry Topology And Dynamics Of Character Varieties by William Goldman and you can download with pub, pdf, txt, doc, and more file format with free account. this book aims to describe, for readers uneducated in science, the development of humanity's desire to know and understand the world around us through the various stages of its development to the present, when science is almost universally recognized - at least in the western world - as the most reliable way of knowing. the book describes the history of the large-scale exploration of the surface of the earth by sea, beginning with the vikings and the chinese, and of the unknown interiors of the american and african continents by foot and horseback. after the invention of the telescope, visual exploration of the surfaces of the moon and mars were made possible, and finally a visit to the moon. the book then turns to our legacy from the ancient greeks of wanting to understand rather than just know, and why the scientific way of understanding is valued. for concreteness, it relates the lives and accomplishments of six great scientists, four from the nineteenth century and two from the twentieth. finally, the book explains how chemistry came to be seen as the most basic of the sciences, and then how physics became the most fundamental.

Decorated Teichmüller Theory

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Author by : R. C. Penner
Languange Used : English, France, Spanish, Italia and chinese
Page : 360
Isbn : 9783037190753
Identifier : 3037190752
Release : 2012
Publisher by : European Mathematical Society
Category : Mathematics
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Author by : Linda Keen
Languange Used : English, France, Spanish, Italia and chinese
Page : 256
Isbn : 0821853481
Identifier : 9780821853481
Release : 2012
Publisher by : American Mathematical Soc.
Category : Mathematics
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Description : Read Now Conformal Dynamics And Hyperbolic Geometry by Linda Keen and you can download with pub, pdf, txt, doc, and more file format with free account. this volume contains the proceedings of the conference on conformal dynamics and hyperbolic geometry, held october 21-23, 2010, in honor of linda keen's 70th birthday. this volume provides a valuable introduction to problems in conformal and hyperbolic geometry and one dimensional, conformal dynamics. it includes a classic expository article by john milnor on the structure of hyperbolic components of the parameter space for dynamical systems arising from the iteration of polynomial maps in the complex plane. in addition there are foundational results concerning teichmuller theory, the geometry of fuchsian and kleinian groups, domain convergence properties for the poincare metric, elaboration of the theory of the universal solenoid, the geometry of dynamical systems acting on a circle, and realization of thompson's group as a mapping class group for a uniformly asymptotically affine circle endomorphism. the portion of the volume dealing with complex dynamics will appeal to a diverse group of mathematicians. recently many researchers working in a wide range of topics, including topology, algebraic geometry, complex analysis, and dynamical systems, have become involved in aspects of this field.

Strasbourg Master Class on Geometry

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Author by : Athanase Papadopoulos
Languange Used : English, France, Spanish, Italia and chinese
Page : 454
Isbn : 9783037191057
Identifier : 3037191058
Release : 2012-01
Publisher by : European Mathematical Society
Category : Mathematics
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Description : Read Now Strasbourg Master Class On Geometry by Athanase Papadopoulos and you can download with pub, pdf, txt, doc, and more file format with free account. the text is addressed to students and mathematicians who wish to learn the subject. it can also be used as a reference book and as a textbook for short courses on geometry.

Pangeometry

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Author by : Nikolaĭ Ivanovich Lobachevskiĭ
Languange Used : English, France, Spanish, Italia and chinese
Page : 310
Isbn : 9783037190876
Identifier : 3037190876
Release : 2010-01-01
Publisher by : European Mathematical Society
Category : Mathematics
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Geometry, Topology, and Dynamics

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Author by : François Lalonde
Languange Used : English, France, Spanish, Italia and chinese
Page : 148
Isbn : 082180877X
Identifier : 9780821808771
Release : 1998
Publisher by : American Mathematical Soc.
Category : Mathematics
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Description : Read Now Geometry Topology And Dynamics by François Lalonde and you can download with pub, pdf, txt, doc, and more file format with free account. this volume contains the proceedings from the workshop on ``geometry, topology and dynamics'' held at crm at the university of montreal. the event took place at a crucial time with respect to symplectic developments. during the previous year, seiberg and witten had just introduced the famous gauge equations. taubes then extracted new invariants that were shown to be equivalent in some sense to a particular form of gromov invariants for symplectic manifolds in dimension 4. with gromov's deformation theory, this constitutes an important advance in symplectic geometry by furnishing existence criteria. meanwhile, contact geometry was rapidly developing. using both holomorphic arguments in symplectizations of contact manifolds and ad hoc topological arguments--or even gauge theoretic methods--several results were obtained on 3-dimensional contact manifolds and new surprising facts were derived about the bennequin-thurston invariant. furthermore, a fascinating relation exists between hofer's geometry, pseudoholomorphic curves and the $k$-area recently introduced by gromov. finally, longstanding conjectures on the flux were resolved in a substantial number of specific cases by comparing various aspects of floer-novikov homology with morse homology. the papers in this volume are written by leading experts and are all clear, comprehensive, and original. the work covers a complete range of exciting new developments in symplectic and contact geometries.

Quasiconformal Teichmüller Theory

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Author by : Frederick P. Gardiner
Languange Used : English, France, Spanish, Italia and chinese
Page : 372
Isbn : 0821819836
Identifier : 9780821819838
Release : 2000
Publisher by : American Mathematical Soc.
Category : Mathematics
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Description : Read Now Quasiconformal Teichmuller Theory by Frederick P. Gardiner and you can download with pub, pdf, txt, doc, and more file format with free account. the teichmuller space $t(x)$ is the space of marked conformal structures on a given quasi conformal surface $x$. this volume uses quasi conformal mapping to give a unified and up-to-date treatment of $t(x)$. emphasis is placed on parts of the theory applicable to non compact 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 quasi symmetric mappings. many research problems in the application of function theory to geometry and dynamics are suggested.