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