## 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
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
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.

## Handbook of Teichmüller Theory

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Languange Used : English, France, Spanish, Italia and chinese
Page : 883
Isbn : 9783037190555
Identifier : 3037190558
Release : 2007
Publisher by : European Mathematical Society
Category : Mathematics
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
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
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.

## Quasiconformal Maps and Teichmüller Theory

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Author by : Alastair Fletcher
Languange Used : English, France, Spanish, Italia and chinese
Page : 189
Isbn : 9780198569268
Identifier : 0198569262
Release : 2007
Publisher by : Oxford University Press on Demand
Category : Mathematics
Description : Read Now Quasiconformal Maps And Teichmuller Theory by Alastair Fletcher and you can download with pub, pdf, txt, doc, and more file format with free account. based on a series of graduate lectures given by vladimir markovic at the university of warwick in spring 2003, this book is accessible to those with a grounding in complex analysis looking for an introduction to the theory of quasiconformal maps and teichmï¿½ller theory. assuming some familiarity with riemann surfaces and hyperbolic geometry, topics covered include the grï¿½tzch argument, analytical properties of quasiconformal maps, the beltrami differential equation, holomorphic motions and teichmï¿½ller spaces. where proofs are omitted, references to where they may be found are always given, and the text is clearly illustrated throughout with diagrams, examples, and exercises for the reader.

## Strasbourg Master Class on Geometry

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Languange Used : English, France, Spanish, Italia and chinese
Page : 454
Isbn : 9783037191057
Identifier : 3037191058
Release : 2012-01
Publisher by : European Mathematical Society
Category : Mathematics
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.

## Function Theory of Several Complex Variables

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Author by : Steven George Krantz
Languange Used : English, France, Spanish, Italia and chinese
Page : 564
Isbn : 0821827243
Identifier : 9780821827246
Release : 2001
Publisher by : American Mathematical Soc.
Category : Mathematics
Description : Read Now Function Theory Of Several Complex Variables by Steven George Krantz and you can download with pub, pdf, txt, doc, and more file format with free account. the theory of several complex variables can be studied from several different perspectives. in this book, steven krantz approaches the subject from the point of view of a classical analyst, emphasizing its function-theoretic aspects. he has taken particular care to write the book with the student in mind, with uniformly extensive and helpful explanations, numerous examples, and plentiful exercises of varying difficulty. in the spirit of a student-oriented text, krantz begins with an introduction to the subject, including an insightful comparison of analysis of several complex variables with the more familiar theory of one complex variable. the main topics in the book include integral formulas, convexity and pseudoconvexity, methods from harmonic analysis, and several aspects of the $\overline{\partial}$ problem. some further topics are zero sets of holomorphic functions, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and holomorphic mappings. while due attention is paid to algebraic aspects of several complex variables (sheaves, cousin problems, etc.), the student with a background in real and complex variable theory, harmonic analysis, and differential equations will be most comfortable with this treatment. this book is suitable for a first graduate course in several complex variables.

## 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

## 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
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.

## 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
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.

## Problems on Mapping Class Groups and Related Topics

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Author by : Benson Farb
Languange Used : English, France, Spanish, Italia and chinese
Page : 371
Isbn : 0821838385
Identifier : 9780821838389
Release : 2006-09-12
Publisher by : American Mathematical Soc.
Category : Mathematics