Notes on notes of Thurston. (English) Zbl 0612.57009

Analytical and geometric aspects of hyperbolic space, Symp. Warwick and Durham/Engl. 1984, Lond. Math. Soc. Lect. Note Ser. 111, 3-92 (1987).
[For the entire collection see Zbl 0601.00008.]
W. Thurston’s notes, ”The geometry and topology of 3-manifolds”, are of fundamental importance for all current research in low-dimensional topoloy. As class notes, they are often sketchy and are occasionally obscure. The authors have prepared a careful and detailed exposition of certain important portions of those notes, particularly of important topics in section 8 of those notes. For example, they treat the developing map, convexity, the deformation space, thickenings, the thick- thin decomposition, geometric and algebraic convergence, geodesic laminations and pleated surfaces.
Reviewer: J.W.Cannon


57N10 Topology of general \(3\)-manifolds (MSC2010)
51M10 Hyperbolic and elliptic geometries (general) and generalizations
30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization)


Zbl 0601.00008