Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-x24gv Total loading time: 0 Render date: 2024-05-11T20:43:07.267Z Has data issue: false hasContentIssue false

A New Foreword

Published online by Cambridge University Press:  05 November 2011

Richard D. Canary
Affiliation:
University of Michigan
R. D. Canary
Affiliation:
University of Michigan, Ann Arbor
A. Marden
Affiliation:
University of Minnesota
D. B. A. Epstein
Affiliation:
University of Warwick
Get access

Summary

The article “Notes on Notes of Thurston” was intended as an exposition of some portions of Thurston's lecture notes The Geometry and Topology of Three-Manifolds. The work described in Thurston's lecture notes revolutionized the study of Kleinian groups and hyperbolic manifolds, and formed the foundation for parts of Thurston's proof of his Geometrization theorem. At the time, much of the material in those Notes was unavailable in a published form. In this foreword, we point the reader to some more recent publications where detailed explanations of the material in Thurston's original lecture notes are available. We will place a special emphasis on Thurston's Chapters 8 and 9. This material was the basis for much of our original article and it still represents the part least well-digested by the mathematical community. This is also the material which has been closest to the author's subsequent interests, so the selection will, by necessity, reflect some of his personal biases.

We hope this foreword will be useful to students and working mathematicians who are attempting to come to grips with the very beautiful, but also sparingly described, mathematics in Thurston's notes. No attempt has been made to make this foreword self-contained. It is simply a rough-and-ready guide to some of the relevant literature. In particular, we will not have space to define all the mathematical terms used, but we hope the reader will make use of the many references to sort these out. In particular, we will assume that the reader has a copy of Thurston's notes on hand.

Type
Chapter
Information
Fundamentals of Hyperbolic Manifolds
Selected Expositions
, pp. 3 - 29
Publisher: Cambridge University Press
Print publication year: 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×