On closed 3-braids. [electronic resource]

By: Murasugi, Kunio, 1929-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 151.Publication details: Providence, R.I., American Mathematical Society, 1974Description: 1 online resource (vi, 114 p. : illus.)ISBN: 9780821899526 (online)Subject(s): Braid theoryAdditional physical formats: On closed 3-braids.DDC classification: 510/.8 s | 514/.224 LOC classification: QA3 | .A57 no. 151 | QA612.23Online resources: Contents | Contents
Contents:
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 $9_{20}$
Item type: E-BOOKS
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Bibliography: p. 113-114.

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 $9_{20}$

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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