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Lectures on the Topology of 3-Manifolds
This chapter is in the book Lectures on the Topology of 3-Manifolds

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
https://doi.org/10.1515/9783110250367.195

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
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