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Low-dimensional geometry : from Euclidean surfaces to hyperbolic knots
Author
Title
Low-dimensional geometry : from Euclidean surfaces to hyperbolic knots / Francis Bonahon.
ISBN
082184816X
9780821848166
Published
Providence, R.I. : American Mathematical Society ; Princeton, N.J. : Institute for Advanced Study, ©2009.
Physical Description
xvi, 384 pages : illustrations ; 22 cm.
Summary
"The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments."--Jacket.
Format
Books
Language
English
Added to Catalog
July 23, 2009
Series
Student mathematical library ; v. 49. IAS/Park City mathematical subseries
Bibliography
Includes bibliographical references and index.
Contents
The euclidean plane
The hyperbolic plane
The 2-dimensional sphere
Gluing constructions
Gluing examples
Tessellations
Group actions and fundamental domains
The Farey tessellation and circle packing
The 3-dimensional hyperbolic space
Kleinian groups
The figure-eight knot complement
Geometrization theorems in dimension 3.
Subjects
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