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商品描述
Braids and braid groups form central objects in knot theory and three-dimensional topology. They have also been at the heart of important mathematical developments over the last two decades. This introductory text presents the theory of braids and braid groups to the reader along with the recent developments in this field. Developments related to the linearity and orderability of braid groups are carefully presented. This well-written text is ideal for graduate students and all mathematicians with an interest in braids and braid groups.
商品描述(中文翻譯)
辮子(braids)與辮子群(braid groups)是紐結理論(knot theory)和三維拓撲學(three-dimensional topology)的核心研究對象。過去二十年來,它們也一直是許多重要數學發展的核心。本入門讀本將辮子與辮子群的理論,以及此領域近期的發展介紹給讀者。書中詳盡闡述與辮子群的線性(linearity)及可序性(orderability)相關的發展。本書文筆流暢,適合研究生,以及所有對辮子與辮子群感興趣的數學家閱讀。
作者簡介
Dr. Christian Kassel is the director of CNRS (Centre National de la Recherche Scientifique in France), was the director of l'Institut de Recherche Mathematique Avancee from 2000 to 2004, and is an editor for the Journal of Pure and Applied Algebra. Kassel has numerous publications, including the book Quantum Groups in the Springer Gradate Texts in Mathematics series.
Dr. Vladimir Turaev was also a professor at the CNRS and is currently at Indiana University in the Department of Mathematics.
作者簡介(中文翻譯)
Christian Kassel 博士是 CNRS(法國國家科學研究中心,Centre National de la Recherche Scientifique)的主任,曾於 2000 年至 2004 年間擔任高等數學研究所(l'Institut de Recherche Mathematique Avancee)主任,並擔任《Journal of Pure and Applied Algebra》的編輯。Kassel 博士著作等身,其中包括 Springer「Graduate Texts in Mathematics」系列的《Quantum Groups》一書。
Vladimir Turaev 博士也曾任職於 CNRS,目前任教於 Indiana University 數學系。