Outer Circles: An Introduction to Hyperbolic 3-Manifolds (Google eBook)

Front Cover
Cambridge University Press, May 31, 2007 - Mathematics
3 Reviews
We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study.
  

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section 5.1 discusses represnetaion varieties and dimension of character varieties.

Review: Outer Circles: An Introduction to Hyperbolic 3-Manifolds

User Review  - Steve Dalton - Goodreads

This book is full of facts about hyperbolic 3 manifolds with absolutely no connecting thread between these facts. There is virtually no motivation, big picture, "here's where we are going" in almost ... Read full review

Contents

Section 1
12
Section 2
49
Section 3
76
Section 4
85
Section 5
87
Section 6
105
Section 7
137
Section 8
148
Section 14
263
Section 15
265
Section 16
267
Section 17
268
Section 18
272
Section 19
276
Section 20
279
Section 21
280

Section 9
187
Section 10
232
Section 11
238
Section 12
239
Section 13
250
Section 22
312
Section 23
348
Section 24
364
Section 25
388

Common terms and phrases

Popular passages

Page 14 - J.-P. Otal, Le theoreme d'hyperbolisation pour les varietes fibrees de dimension 3, Asterisque 235, Societe Mathematique de France, Paris, 1996.
Page 15 - JG Ratcliffe. Foundations of hyperbolic manifolds. Graduate Texts in Mathematics 149, Springer 1994.

About the author (2007)

Albert Marden is a Professor of Mathematics in the School of Mathematics at the University of Minnesota.

Bibliographic information