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Braid and knot theory in dimension four

Author: 鎌田, 聖一, (1964- ) ; Seiichi Kamada
Publisher: Providence, RI : American Mathematical Society, 2002.
Series: Mathematical surveys and monographs, v. 95.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Generalizes braid theory to dimension four. This work develops the theory of surface braids and applies it to study surface links. It contains a proof of the generalized Markov theorem.It is suitable  Read more...

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Document Type: Book
All Authors / Contributors: 鎌田, 聖一, (1964- ) ; Seiichi Kamada
ISBN: 0821829696 9780821829691
OCLC Number: 49285352
Description: xiii, 313 pages : illustrations ; 26 cm.
Contents: Pt. 1. Classical Braids and Links --
Ch. 1. Braids --
Ch. 2. Braid Automorphisms --
Ch. 3. Classical Links --
Ch. 4. Braid Presentation of Links --
Ch. 5. Deformation Chain and Markov's Theorem --
Pt. 2. Surface Knots and Links --
Ch. 6. Surface Links --
Ch. 7. Surface Link Diagrams --
Ch. 8. Motion Pictures --
Ch. 9. Normal Forms of Surface Links --
Ch. 10. Examples (Spinning) --
Ch. 11. Ribbon Surface Links --
Ch. 12. Presentations of Surface Link Groups --
Pt. 3. Surface Braids --
Ch. 13. Branched Coverings --
Ch. 14. Surface Braids --
Ch. 15. Products of Surface Braids --
Ch. 16. Braided Surfaces --
Ch. 17. Braid Monodromy --
Ch. 18. Chart Descriptions --
Ch. 19. Non-simple Surface Braids --
Ch. 20. 1-Handle Surgery on Surface Braids --
Pt. 4. Braid Presentation of Surface Links --
Ch. 21. The Normal Braid Presentation --
Ch. 22. Braiding Ribbon Surface Links --
Ch. 23. Alexander's Theorem in Dimension Four --
Ch. 24. Split Union and Connected Sum --
Ch. 25. Markov's Theorem in Dimension Four --
Ch. 26. Proof of Markov's Theorem in Dimension Four --
Pt. 5. Surface Braids and Surface Links --
Ch. 27. Knot Groups --
Ch. 28. Unknotted Surface Braids and Surface Links --
Ch. 29. Ribbon Surface Braids and Surface Links --
Ch. 30. 3-Braid 2-Knots --
Ch. 31. Unknotting Surface Braids and Surface Links --
Ch. 32. Seifert Algorithm for Surface Braids --
Ch. 33. Basic Symmetries in Chart Descriptions --
Ch. 34. Singular Surface Braids and Surface Links.
Series Title: Mathematical surveys and monographs, v. 95.
Responsibility: Seiichi Kamada.

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