Surfaces in 4-Space
Surfaces in 4-Space
复制标题
DOI：
10.1007/978-3-662-10162-9
复制
发表时间：
2004-04
期刊：
影响因子：
--
通讯作者：
Scott Carter;S. Kamada;M. Saito
中科院分区：
文献类型：
--
作者：
Scott Carter;S. Kamada;M. Saito
表面在4空间，书面的领先专家在该领域，讨论了打结的表面在4维空间和调查的许多已知的结果在该地区。结面图，结构的结面，经典定义的不变量，并通过quandle同源理论定义新的不变量的结果。最后一章包括许多最近的结果，和计算技术。新表的quandles与几个元素及其同源群。这本书包含了许多新的纽结曲面图的插图。本书的读者将成为密切注意的微妙之处，在去从经典的情况下打结的圆圈在3-空间，以这种更高的维度的情况。作为一项调查，这本书是一本指南书，以广泛的文献打结的表面，并将成为一个有用的参考研究生和研究人员在数学和物理。
Surfaces in 4-Space, written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. The last chapter comprises many recent results, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included. This book contains many new illustrations of knotted surface diagrams. The reader of the book will become intimately aware of the subtleties in going from the classical case of knotted circles in 3-space to this higher dimensional case. As a survey, the book is a guide book to the extensive literature on knotted surfaces and will become a useful reference for graduate students and researchers in mathematics and physics.