Contents

Chapters in this book

1. Frontmatter i
2. Preface v
3. Contents ix
4. Introduction 1
5. Glossary 3
6. Lecture 1. Heegaard splittings 16
7. Lecture 2. Dehn surgery 32
8. Lecture 3. Kirby calculus 43
9. Lecture 4. Even surgeries 58
10. Lecture 5. Review of 4-manifolds 63
11. Lecture 6. Four-manifolds with boundary 72
12. Lecture 7. Invariants of knots and links 81
13. Lecture 8. Fibered knots 98
14. Lecture 9. The Arf-invariant 109
15. Lecture 10. Rohlin’s theorem 116
16. Lecture 11. The Rohlin invariant 123
17. Lecture 12. The Casson invariant 135
18. Lecture 13. The group SU(2) 142
19. Lecture 14. Representation spaces 148
20. Lecture 15. The local properties of representation spaces 159
21. Lecture 16. Casson’s invariant for Heegaard splittings 163
22. Lecture 17. Casson’s invariant for knots 172
23. Lecture 18. An application of the Casson invariant 181
24. Lecture 19. The Casson invariant of Seifert manifolds 184
25. Conclusion 191
26. Bibliography 195
27. Index 205