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On Closed 3-Braids
 
On Closed 3-Braids
eBook ISBN:  978-0-8218-9952-6
Product Code:  MEMO/1/151.E
List Price: $23.00
MAA Member Price: $20.70
AMS Member Price: $13.80
On Closed 3-Braids
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On Closed 3-Braids
eBook ISBN:  978-0-8218-9952-6
Product Code:  MEMO/1/151.E
List Price: $23.00
MAA Member Price: $20.70
AMS Member Price: $13.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 11974; 114 pp
    MSC: Primary 55; Secondary 20
  • 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 $9_{20}$
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 11974; 114 pp
MSC: Primary 55; Secondary 20
  • 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 $9_{20}$
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.