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Knots, Links, Braids and 3-manifolds - An Introduction to the New Invariants in Low-Dimensional Topology (Paperback, New edition)
Loot Price: R4,094
Discovery Miles 40 940
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Knots, Links, Braids and 3-manifolds - An Introduction to the New Invariants in Low-Dimensional Topology (Paperback, New edition)
Series: Translations of Mathematical Monographs
Expected to ship within 12 - 17 working days
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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.
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