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**Three dimensional orbifolds and cone-manifolds-World Scientific ** written by
** Cooper Daryl**, Department of Mathematics, University of California, Santa Barbara, USA and
** Hodgson Craig D. **, Department of Mathematics and Statistics, University of Melbourne, Victoria, Australia and
** Kerckhoff Steven P. **, Stanford University, Stanford USA.

**Three dimensional orbifolds and cone-manifolds-World Scientific ** written by
** Cooper Daryl**,
** Hodgson Craig D. ** and
** Kerckhoff Steven P. **
cover the following topics.

Preface

Introduction

1.1 Geometry of surfaces

1.2 Geometry of 3-manifolds

1.3 Thurston’s eight geometries

1.4 Developing map and holonomy

1.5 Evidence for the Geometrization Conjecture

1.6 Geometric structures on 3-manifolds with symmetry

1.7 Some 3-manifolds with symmetry

1.8 3-manifolds as branched coverings

2.1 Orbifold definitions

2.2 Local structure

2.3 Orbifold coverings

2.4 Orbifold Euler characteristic

2.5 Geometric structures on orbifolds

2.6 Some geometric 3-orbifolds

2.7 Orbifold fibrations

2.8 Orbifold Seifert fibre spaces

2.9 Suborbifolds

2.10 Spherical decomposition for orbifolds

2.11 Euclidean decomposition for orbifolds

2.12 Graph orbifolds

2.13 The Orbifold Theorem

3.1 Definitions

3.2 Local structure

3.3 Standard cone neighbourhoods

3.4 Geodesics

3.5 Exponential map

3.6 Dirichlet domains

3.7 Area and volume of cone-manifolds

4.1 Developing map and holonomy

4.2 Two-dimensional spherical cone-manifolds

4.3 Two-dimensional euclidean cone-manifolds

4.4 Euclidean examples with large cone angles

4.5 Spaces of cone-manifold structures

4.6 Two-dimensional hyperbolic cone-manifolds

5.1 Introduction

5.2 Deformations and degenerations of surfaces

5.3 General deformation theory

5.4 Deforming hyperbolic cone-manifolds

5.5 Representation spaces

5.6 Hyperbolic Dehn filling

5.7 Dehn surgery on the figure eight knot

6.1 ǫ-approximations

6.2 Limits with basepoints

6.3 Gromov’s compactness theorem

6.4 Limits of hyperbolic cone-manifolds

6.5 Bilipschitz convergence

6.6 Convergence of holonomy

7.1 Topological preliminaries

7.2 Deforming hyperbolic structures

7.3 Controlling degenerations

7.4 Euclidean to spherical transition

7.5 Analysis of the thin part

7.6 Outline of the Collapsing Theorem

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