MAKOTO SAKUMA  
Contents  
1. Introduction  
2. Knot theory before Thurston  
3. The geometric decomposition of knot exteriors  
4. The Bonahon–Siebenmann decomposition for simple links  
5. Hyperbolic manifolds and the rigidity theorem  
6. Computation of hyperbolic structures and canonical decompositions of cusped hyperbolic manifolds  
7. Flexibility of incomplete hyperbolic structures and the hyperbolic Dehn filling theorem  
8. Volumes of hyperbolic 3-manifolds  
11. Representations of 3-manifold groups  
12. Thurston norm  
13. Finite-index subgroups of knot groups and 3-manifold groups