Lectures on the Topology of 3-Manifolds - An Introduction to the Casson Invariant

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List of contents

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

Product details

• Authors: Nikolai Saveliev
• Publisher: De Gruyter
• Languages: English
• Product format: Hardback
• Released: 01.01.1999
• EAN: 9783110162721
• ISBN: 978-3-11-016272-1
• Dimensions: 170 mm x 19 mm x 240 mm
• Weight: 466 g
• Illustrations: w. figs.
• Series: De Gruyter Textbook; Gruyter Textbook; De Gruyter Textbook
• Subject: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries