Mathematical Sciences Research Institute

Geometry and topology of three-manifolds

By William Thurston

Electronic version 1.1 - March 2002 - with an index!

This is an electronic edition of the 1980 lecture notes distributed by Princeton University. The text was typed in TeX by Sheila Newbery, who also scanned the figures. Typos have been corrected (and probably others introduced), but otherwise no attempt has been made to update the contents. Genevieve Walsh compiled the index.

Numbers on the right margin correspond to the original edition's page numbers.

Thurston's Three-Dimensional Geometry and Topology, Volume 1 (Princeton University Press, 1997) is a considerable expansion of the first few chapters of these notes. Later chapters have not yet appeared in book form.

Please help improve this document by sending to Silvio Levy at levy@msri.org any useful information such as

• reports of typos, omissions, and departures from the printed notes that are not purely stylistic
• references for results attributed without citation
• references to solutions of then-open problems

File formats

HERE IS THE STUFF

I've broken it down into chapters or portions about 20 pages long.

Chapters 10 and 12 don't exist.

(An earlier set of PDF files was kindly prepared and contributed by David Bayer.)

Chapter 1) Geometry and three-manifolds (with front page, introduction, and table of contents), i–vii, 1–7
PDF   PS   PS.GZ   ZIP   TGZ  

Chapter 2) Elliptic and hyperbolic geometry, 9–26
PDF   PS   PS.GZ   ZIP   TGZ  

Chapter 3) Geometric structures on manifolds, 27–43
PDF   PS   PS.GZ   ZIP   TGZ  

Chapter 4) Hyperbolic Dehn surgery, 45–83
PDF   ( 45–63:  PS   PS.GZ   ZIP   TGZ )   ( 64–83:  PS   PS.GZ   ZIP   TGZ )  

Chapter 5) Flexibility and rigidity of geometric structures, 85–121
PDF   ( 85–103:  PS   PS.GZ   ZIP   TGZ )   ( 104–121:  PS   PS.GZ   ZIP   TGZ )  

Chapter 6) Gromov's invariant and the volume of a hyperbolic manifold, 123–155
PDF   ( 123–141:  PS   PS.GZ   ZIP   TGZ )   ( 142–155:  PS   PS.GZ   ZIP   TGZ )  

Chapter 7) Computation of volume, by J. W. Milnor, 157–170
PDF   PS   PS.GZ   ZIP   TGZ  

Chapter 8) Kleinian groups, 171–223
PDF   ( 171–190:  PS   PS.GZ   ZIP   TGZ )   ( 191–210:  PS   PS.GZ   ZIP   TGZ )   ( 210–223:  PS   PS.GZ   ZIP   TGZ )  

Chapter 9) Algebraic convergence, 225–282
PDF   ( 225–243:  PS   PS.GZ   ZIP   TGZ )   ( 244–263:  PS   PS.GZ   ZIP   TGZ )   ( 263–282:  PS   PS.GZ   ZIP   TGZ )  

Chapter 11) Deforming Kleinian manifolds by homeomorphisms of the sphere at infinity (with a note), 283–295
PDF   PS   PS.GZ   ZIP   TGZ  

Chapter 13) Orbifolds, 297–355
PDF   ( 297–315:  PS   PS.GZ   ZIP   TGZ )   ( 316–335:  PS   PS.GZ   ZIP   TGZ )   ( 335–355:  PS   PS.GZ   ZIP   TGZ )  

Index, 357–360
PDF   PS   PS.GZ   ZIP   TGZ  

Complete book   PDF