Math 8803Lowdimensional Topology and

Theodor Geisel 


Hyperbolic 3manifolds  
Week  Dates  Topics  Reading  Lectures  Notes  
1  Aug 19  Overview  Hatcher  Week 1  
2  Aug 26  Sphere/torus decompositions  Hatcher  Week 2  
3  Sep 2  Seifert manifolds  Hatcher  Week 3  Labor day  
4  Sep 9  Hyperbolic geometry  Thurston  Week 4  
5  Sep 16  Hyperbolic manifolds  Purcell  Week 5  
6  Sep 23  Completeness  Thurston  Week 6  
7  Sep 30  Dehn surgery  Thurston  Week 7  
8  Oct 7  Mostow Rigidity  Thurston  Week 8  
9  Oct 14  Mostow Rigidity  Thurston  Week 9  Fall break  
Weeks 19 
Geometry of the Complex of Curves  
Week  Dates  Topics  Reading  Lectures  Notes  
10  Oct 21  Overview / Hyperbolicity  Sisto  Week 10  
11  Oct 28  Axes / Free groups  MMI  Week 11  
12  Nov 4  BGI  Webb  Week 12  
13  Nov 11  pA Recipe  Mangahas Guirardel 
Week 13  
14  Nov 18  Tight geodesics  MasurMinsky II  Week 14  
15  Nov 25  Acylindricity  Webb  Week 15  Thanksgiving  
16  Dec 2  RAAGs  CLM  Week 16  
Weeks 1016 
Combinatorial cubings, cusps, and the dodecahedral knots, I.R. Aitchison and J.H. Rubinstein
Geometric group theory and 3manifolds hand in hand: the fulfillment of Thurston's vision, Mladen Bestvina
Geometric structures on 3manifolds, Francis Bonahon
Seifert fibered spaces, Matthew Brin
Notes on 3manifolds, Danny Calegari
Hyperbolic geometry, James W. Cannon, William J. Floyd, Richard Kenyon, and Walter R. Parry
The CompuTop.org Software Archive
An introduction to 3manifolds, Stefan Friedl
Hyperbolic Geometry and 3Manifold Topology, David Gabai
Hyperbolic 3manifolds in the 2000's, David Gabai
Hyperbolic manifolds according to Thurston and Jorgensen, Mikhail Gromov
Introduction to hyperbolic geometry, Subhojoy Gupta
Notes on Basic 3manifolds, Allen Hatcher
The classification of 3manifolds  a brief overview, Allen Hatcher
The classification of 3manifolds, Allen Hatcher
The homeomorphism problem: classification of 3manifolds, William Jaco
Hyperbolic manifolds and discrete groups: Lectures on Thurston's geometrization, Misha Kapovich
Knots and Manifolds, Louis Kauffman
Threedimensional manifolds, Marc Lackenby
Hyperbolic Manifolds, Marc Lackenby
From metrics to moduli space, Chris Leininger
Outer circles: an introduction to hyperbolic 3manifolds, Albert Marden
Towards the Poincare conjecture and the classification of 3manifolds, John Milnor
Around the Borromean link, Jose Maria MontesinosAmilibia
Notes on Geometry and 3manifolds, Walter Neumann
Lectures on Seifert manifolds, Walter Neumann
Hyperbolic knot theory, Jessica Purcell
Foundations of hyperbolic manifolds, John Ratcliffe
Three manifolds, Saul Schleimer
The geometries of 3manifolds, Peter Scott
Hyperbolic geometry, Caroline Series
The Geometry and Topology of 3manifolds, William Thurston
The mystery of 3manifolds, William Thurston
Three dimensional manifolds, Kleinian groups and hyperbolic geometry, William Thurston
Hyperbolic Structures on 3manifolds, II: Surface groups and 3manifolds which fiber over the circle, William Thurston
How to see 3manifolds, William Thurston
Complex of curves
Uniform hyperbolicity of the graphs of curves, Tarik Aougab
Quasihomomorphisms on mapping class groups, Mladen Bestvina and Koji Fujiwara
Intersection numbers and the hyperbolicity of the curve complex , Brian Bowditch
Tight geodesics in the curve complex, Brian Bowditch
Length bounds on curves arising from tight geodesics, Brian Bowditch
Uniform hyperbolicity of the curve graphs, Brian Bowditch
The classification of Kleinian surface groups II: the ending lamination conjecture, Jeff Brock, Dick Canary, and Yair Minsky
The geometry of right angled Artin subgroups of mapping class groups, Matt Clay, Chris Leininger, and Johanna Mangahas
Uniform hyperbolicity of the curve graph via surgery sequences, Matt Clay, Kasra Rafi, and Saul Schleimer
Rotating families, Dehn fillings and small cancellation, Vincent Guirardel Boundary structure of the modular group, William J. Harvey
Mapping class groups, Nikolai Ivanov
Automorphisms of Complexes of Curves and of Teichmüller Spaces, Nikolai Ivanov
A finite set of generators for the homeotopy group of a 2manifold, W.B.R. Lickorish
A recipe for shortword pseudoAnosovs, Johanna Mangahas
Geometry of the complex of curves I: hyperbolicity, Howard Masur and Yair Minsky
Geometry of the complex of curves II: hierarchical structure, Howard Masur and Yair Minsky
Curve complexes, surfaces and 3manifolds, Yair Minsky
The classification of Kleinian surface groups, I: models and bounds, Yair Minsky
Notes on the complex of curves, Saul Schleimer
Combinatorial rigidity in curve complexes and mapping class groups, Ken Shackleton
Lecture Notes on Braids and Dynamics, JeanLuc Thiffeault
1slim triangles and uniform hyperbolicity for arc graphs and curve graphs, Richard Webb, Sebastian Hensel, and Piotr Przytycki
Uniform bounds for bounded geodesic image theorems, Richard Webb
Combinatorics of tight geodesics and stable lengths, Richard Webb
The uniformization theorem
The loop theorem
The sphere theorem
Classification of Seifert manifolds
JSJ decompositions of groups
Automorphisms of the complex of curves
CartanHadamard theorem
FenchelNielsen coordinates
SnapPy
NielsenThurston classification theorem
DehnNielsenBaer theorem
Quasimorphisms on mapping class groups
Asymptotic dimension of the mapping class group
BestvinaHandel algorithm
Boundary of the complex of curves
Ending lamination theorem