AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
On closed $3$-braids
About this Title
Kunio Murasugi
Publication: Memoirs of the American Mathematical Society
Publication Year:
1974; Number 151
ISBNs: 978-0-8218-1851-0 (print); 978-0-8218-9952-6 (online)
DOI: https://doi.org/10.1090/memo/0151
MathSciNet review: 0356023
MSC: Primary 55A25
Table of Contents
Chapters
- 1. Terminologies and notations
- 2. Normal forms
- 3. Alexander polynomials (I)
- 4. Alexander polynomials (II)
- 5. Split links
- 6. Symmetric polynomials
- 7. Alexander polynomials (III)
- 8. Braid index
- 9. Signature of links (I)
- 10. Signature of links (II)
- 11. Signature of links (III)
- 12. Torus links
- 13. $\tilde \Omega _{(i)} \cap \tilde \Omega _{(j)}$
- 14. Classification of link types in $\tilde \Omega _i$ ($i \neq 6$)
- 15. Link type invariant for $\tilde \Omega _6$
- 16. Partial classification of link types in $\tilde \Omega _6$
- 17. Braid index of product links
- 18. Product links in $\Omega _i$ ($i \neq 6$)
- 19. Proof of Theorem 17.1 (I)
- 20. Proof of Theorem 17.1 (II)
- 21. Proof of Theorem 17.1 (Conclusion)
- Appendix I. Braid index of classical knots
- Appendix II. Table of the braid index
- Appendix III. Braid index of $9_{20}$