The Arithmetic Of Hyperbolic 3 Manifolds
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Author |
: Colin Maclachlan |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 472 |
Release |
: 2013-04-17 |
ISBN-10 |
: 9781475767209 |
ISBN-13 |
: 147576720X |
Rating |
: 4/5 (09 Downloads) |
Synopsis The Arithmetic of Hyperbolic 3-Manifolds by : Colin Maclachlan
Recently there has been considerable interest in developing techniques based on number theory to attack problems of 3-manifolds; Contains many examples and lots of problems; Brings together much of the existing literature of Kleinian groups in a clear and concise way; At present no such text exists
Author |
: John Ratcliffe |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 761 |
Release |
: 2013-03-09 |
ISBN-10 |
: 9781475740134 |
ISBN-13 |
: 1475740131 |
Rating |
: 4/5 (34 Downloads) |
Synopsis Foundations of Hyperbolic Manifolds by : John Ratcliffe
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Particular emphasis has been placed on readability and completeness of ar gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the first-year graduate level of an American university. The book is divided into three parts. The first part, consisting of Chap ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete reflection groups, the Bieberbach theorems, and Selberg's lemma. The second part, consisting of Chapters 8-12, is de voted to the theory of hyperbolic manifolds. The main results are Mostow's rigidity theorem and the determination of the structure of geometrically finite hyperbolic manifolds. The third part, consisting of Chapter 13, in tegrates the first two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering space and Poincare's fundamental polyhedron theorem.
Author |
: John G. Ratcliffe |
Publisher |
: Springer Nature |
Total Pages |
: 800 |
Release |
: 2019-10-23 |
ISBN-10 |
: 9783030315979 |
ISBN-13 |
: 3030315975 |
Rating |
: 4/5 (79 Downloads) |
Synopsis Foundations of Hyperbolic Manifolds by : John G. Ratcliffe
This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.
Author |
: Jean-Pierre Otal |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 150 |
Release |
: 2001 |
ISBN-10 |
: 0821821539 |
ISBN-13 |
: 9780821821534 |
Rating |
: 4/5 (39 Downloads) |
Synopsis The Hyperbolization Theorem for Fibered 3-Manifolds by : Jean-Pierre Otal
For graduate students familiar with low-dimensional topology and researchers in geometry and topology, Otal (CNRS-UMR 128, Lyon) offers a complete proof of Thurston's hyperbolization theorem for 3-manifolds that fiber as surface bundles. The original Le Theoreme d'Hyperbolisation pour les Varietes de Dimension 3, published by the French Mathematical Society in 1996, has been translated by Leslie D. Kay. c. Book News Inc.
Author |
: Michael Kapovich |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 500 |
Release |
: 2001 |
ISBN-10 |
: 0817639047 |
ISBN-13 |
: 9780817639044 |
Rating |
: 4/5 (47 Downloads) |
Synopsis Hyperbolic Manifolds and Discrete Groups by : Michael Kapovich
Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the "Big Monster," i.e., on Thurston’s hyperbolization theorem, which has not only completely changes the landscape of 3-dimensinal topology and Kleinian group theory but is one of the central results of 3-dimensional topology. The book is fairly self-contained, replete with beautiful illustrations, a rich set of examples of key concepts, numerous exercises, and an extensive bibliography and index. It should serve as an ideal graduate course/seminar text or as a comprehensive reference.
Author |
: Albert Marden |
Publisher |
: Cambridge University Press |
Total Pages |
: 535 |
Release |
: 2016-02 |
ISBN-10 |
: 9781107116740 |
ISBN-13 |
: 1107116740 |
Rating |
: 4/5 (40 Downloads) |
Synopsis Hyperbolic Manifolds by : Albert Marden
This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter.
Author |
: William P. Thurston |
Publisher |
: American Mathematical Society |
Total Pages |
: 337 |
Release |
: 2023-06-16 |
ISBN-10 |
: 9781470474744 |
ISBN-13 |
: 1470474743 |
Rating |
: 4/5 (44 Downloads) |
Synopsis The Geometry and Topology of Three-Manifolds by : William P. Thurston
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.
Author |
: Masanori Morishita |
Publisher |
: Springer Nature |
Total Pages |
: 268 |
Release |
: |
ISBN-10 |
: 9789819992553 |
ISBN-13 |
: 9819992559 |
Rating |
: 4/5 (53 Downloads) |
Synopsis Knots and Primes by : Masanori Morishita
Author |
: Andrei Vesnin |
Publisher |
: |
Total Pages |
: 148 |
Release |
: 1996 |
ISBN-10 |
: UOM:39015038111129 |
ISBN-13 |
: |
Rating |
: 4/5 (29 Downloads) |
Synopsis On Volumes of Some Hyperbolic 3-manifolds by : Andrei Vesnin
Author |
: John Hamal Hubbard |
Publisher |
: |
Total Pages |
: 576 |
Release |
: 2022-02 |
ISBN-10 |
: 1943863016 |
ISBN-13 |
: 9781943863013 |
Rating |
: 4/5 (16 Downloads) |
Synopsis Teichmüller Theory and Applications to Geometry, Topology, and Dynamics by : John Hamal Hubbard