Knots, Links, Braids and 3-Manifolds pdf epub mobi txt 電子書下載2025

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出版者:Amer Mathematical Society

作者:V. V. Prasolov

出品人:

頁數:250

译者:

出版時間:1996-10-15

價格:USD 88.00

裝幀:Paperback

isbn號碼:9780821808986

叢書系列:Translations of Mathematical Monographs

圖書標籤:

拓撲
knots
數學
低維拓撲
計算機科學
言簡意賅
雙麯幾何

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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.