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Book synopsis

Frontmatter -- Preface -- Contents -- Introduction -- Glossary -- Lecture 1. Heegaard splittings -- Lecture 2. Dehn surgery -- Lecture 3. Kirby calculus -- Lecture 4. Even surgeries -- Lecture 5. Review of 4-manifolds -- Lecture 6. Four-manifolds with boundary -- Lecture 7. Invariants of knots and links -- Lecture 8. Fibered knots -- Lecture 9. The Arf-invariant -- Lecture 10. Rohlin's theorem -- Lecture 11. The Rohlin invariant -- Lecture 12. The Casson invariant -- Lecture 13. The group SU(2) -- Lecture 14. Representation spaces -- Lecture 15. The local properties of representation spaces -- Lecture 16. Casson's invariant for Heegaard splittings -- Lecture 17. Casson's invariant for knots -- Lecture 18. An application of the Casson invariant -- Lecture 19. The Casson invariant of Seifert manifolds -- Conclusion -- Exercises -- Bibliography -- Index

Book details

Book category Books in English Mathematics & science Mathematics Topology

• Full title: Lectures on the Topology of 3-Manifolds
• Subtitle: An Introduction to the Casson Invariant
• Author: Nikolai Saveliev
• Language: English
• Binding: Hardback
• Number of pages: 208
• EAN: 9783110162721
• ISBN: 3110162725
• ID: 09252427
• Publisher: De Gruyter
• Weight: 1001 g
• Dimensions: 240 × 170 × 10 mm
• Date of publishing: 08. September 1999

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