为了解决四维纽结理论中的一些问题，本书作者利用了各种技巧，重点研究了S^T中的结及其基本群包含的交换正规子群。它们的类包含了具有几何吸引力和容易理解的示例。此外，还可以将代数方法得到的结果应用于这些问题之中。四维拓扑取得的工作将在后面的章节中应用到2-纽结的分类问题之中。本书共八章，包括了结和相关流形、结群、局部化与非球面性等内容。本书由浅入深，适合高等院校师生、代数拓扑学相关专业的研究者、爱好者参考阅读。
Since Gramain wrote the above words in a Seminaire Bourbaki report on classical knot theory in 1976 there have been major advances in 4-dimensional topology， by Casson， Freedman and Quinn. Although a complete classification of 2-knots is not yet in sight， it now seems plausible to expect a characterization of knots in some significant classes in terms of invariants related to the knot group. Thus the subsidiary problem of characterizing 2-knot groups is an essential part of any attempt to classify 2-knots， and it is the principal topic of this book， which is largely algebraic in tone. However we also draw upon 3-manifold theory （for the construction of many examples） and 4-dimensional surgery （to establish uniqueness of knots with given invariants）. It is the interplay between algebra and 3-and 4-dimensional topology that makes the study of 2-knots of particular interest.
Preface
Chapter 1 Knots and Related Manifolds
Chapter 2 The Knot Group
Chapter 3 Localization and Asphericity
Chapter 4 The Rank 1 Case
Chapter 5 The Rank 2 Case
Chapter 6 Ascending Series and the Large Rank Cases
Chapter 7 The Homotopy Type of M（K）
Chapter 8 Applying Surgery to Determine the Knot
Appendix A Four-Dimensional Geometries and Smooth Knots
Appendix B Reflexive Cappell-Shaneson 2-Knots
Some Open Questions
References
Index
编辑手记
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