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

Lectures on the Topology of 3-Manifolds : : An Introduction to the Casson Invariant / / Nikolai Saveliev.

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Progress in low-dimensional topology has been very quick in the last three decades, leading to the solutions of many difficult problems. Among the earlier highlights of this period was Casson's λ-invariant that was instrumental in proving the vanishing of the Rohlin invariant of homotopy 3-sphe...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
VerfasserIn:
Saveliev, Nikolai,
MitwirkendeR:
Saveliev, Nikolai,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©2012
Year of Publication:2011
Edition:2nd rev. ed.
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (207 p.)
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Table 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
  • Bibliography
  • Index

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