Contents i x
Chapter 8
Knots, Links, and Graphs 215
8.1 Link s in Graphs 215
8.2 Knot s in Graphs 22 2
8.3 Polynomial s of Graphs 23 1
Chapter 9
Topology 24 3
9.1 Kno t Complements and Three-Manifolds 24 3
9.2 Th e Three-Sphere and Lens Spaces 24 6
9.3 Th e Poincare Conjecture, Dehn Surgery, and the
Gordon-Luecke Theorem 25 7
Chapter 10
Higher Dimensional Knotting 26 5
10.1 Picturin g Four Dimensions 26 5
10.2 Knotte d Spheres in Four Dimensions 27 2
10.3 Knotte d Three-Spheres in Five-Space 27 3
Knot Jokes and Pastimes 276
Appendix: 279
Table of Knots, Links, and Knot and Link Invariants
Suggested Readings and References 291
Index 303
Corrections to the 2004 AMS Printing 307
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