Knots, links, braids and 3-manifolds : an introduction to the new invariants in low-dimensional topology
著者
書誌事項
Knots, links, braids and 3-manifolds : an introduction to the new invariants in low-dimensional topology
（Translations of mathematical monographs, v. 154）
American Mathematical Society, c1997
- :
- : pbk
- タイトル別名
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Knots, links, braids, and three-manifolds
大学図書館所蔵 件 / 全65件
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: pbk410.8//TR1//941515100167038,15100268265,15100093101,15100094158,
410.8//TR1//074015100107406 -
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注記
Includes bibliographical references (p. 231-236) and index
内容説明・目次
- 巻冊次
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: ISBN 9780821805886
内容説明
This book is intended for researchers working in geometry and topology.
- 巻冊次
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: pbk ISBN 9780821808986
内容説明
This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. It emphasizes the geometric aspects of the theory and treats topics such as braids, homeomorphisms of surfaces, surgery of 3-manifolds (Kirby calculus), and branched coverings. This attractive geometric material, interesting in itself yet not previously gathered in book form, constitutes the basis of the last two chapters, where the Jones-Witten invariants are constructed via the rigorous skein algebra approach (mainly due to the Saint Petersburg school). Unlike several recent monographs, where all of these invariants are introduced by using the sophisticated abstract algebra of quantum groups and representation theory, the mathematical prerequisites are minimal in this book. Numerous figures and problems make it suitable as a course text and for self-study.
目次
Knots, links, and ribbons Knot and link invariants Braids 3-manifolds Homeomorphisms of surfaces Surgery of 3-manifolds Branched coverings Skein invariants of 3-manifolds Invariants of links in 3-manifolds Appendix Solutions References Index.
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