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.
具体描述
读后感
评分
评分
评分
评分
用户评价
教材，1-5章，20-21，26-27，31-32节 低维的简介。目标是Jones多项式和Vassiliev不变量
评分教材，1-5章，20-21，26-27，31-32节 低维的简介。目标是Jones多项式和Vassiliev不变量
评分教材，1-5章，20-21，26-27，31-32节 低维的简介。目标是Jones多项式和Vassiliev不变量
评分教材，1-5章，20-21，26-27，31-32节 低维的简介。目标是Jones多项式和Vassiliev不变量
评分教材，1-5章，20-21，26-27，31-32节 低维的简介。目标是Jones多项式和Vassiliev不变量
相关图书
本站所有内容均为互联网搜索引擎提供的公开搜索信息，本站不存储任何数据与内容，任何内容与数据均与本站无关，如有需要请联系相关搜索引擎包括但不限于百度，google,bing,sogou 等
© 2025 book.quotespace.org All Rights Reserved. 小美书屋 版权所有