| 书目名称 | Quandles and Topological Pairs | | 副标题 | Symmetry, Knots, and | | 编辑 | Takefumi Nosaka | | 视频video | | | 概述 | Shows how the quandle has been evaluated in relation to mathematics or topology while the quandle was often considered to be something combinatorial.Constitutes a guide on quandles at a time when few | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | This book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics. The book is written from topological aspects, but it illustrates how esteemed quandle theory is in mathematics, and it constitutes a crash course for studying quandles..More precisely, this work emphasizes the fresh perspective that quandle theory can be useful for the study of low-dimensional topology (e.g., knot theory) and relative objects with symmetry. The direction of research is summarized as “We shall thoroughly (re)interpret the previous studies of relative symmetry in terms of the quandle”. The perspectives contained herein can be summarized by the following topics. The first is on relative objects .G/H., where .G. and .H. are groups, e.g., polyhedrons, reflection, and symmetric spaces. Next, central extensions of groups are discussed, e.g., spin structures, .K.2 groups,and some geometric anomalies. The third topic is a method to study relative information on a 3-dimensional manifold with a boundary, e.g., knot theory, relative cup products, and relative group cohomology..For applications in topology, | | 出版日期 | Book 2017 | | 关键词 | Quandle; Relative objects; Low dimensional topology; Knot; Group cohomology and cup products | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-10-6793-8 | | isbn_softcover | 978-981-10-6792-1 | | isbn_ebook | 978-981-10-6793-8Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Author(s) 2017 |
The information of publication is updating
|
|
发表于 2025-3-21 19:50:04
