书名：4 Manifolds: Oxford Graduate Texts in Mathematics四维:牛津大学数学研究生教材作者：Selman Akbulut  

出版社名称：Oxford University Press

出版时间：2016

语种：英语 

ISBN：9780198784869

商品尺寸：23.6 x 15.7 x 1.7 cm

包装：平装 

页数：276（以实物为准）

他的书以一种直观的自成体系的方式展示了光滑的4流形的拓扑，这是阿克布鲁特教授多年来开发的。本文以研究生为对象，侧重于本学科的教学和学习，提供了一种直接的方法来解释结构和定理，并辅以练习，帮助读者理解校样中未涉及的细节。书中包含了一百个彩色插图来说明这些想法，而不是提供冗长和可能不清楚的解释。

关键的结果已经被选择与所讨论的材料有关，并且作者已经提供了如何用前面章节中开发的技术来分析它们的例子。

This book presents the topology of smooth 4-manifolds in an intuitive self-contained way, developed over a number of years by Professor Akbulut. The text is aimed at graduate students and focuses on the teaching and learning of the subject, giving a direct approach to constructions and theorems which are supplemented by exercises to help the reader work through the details not covered in the proofs. The book contains a hundred colour illustrations to demonstrate the ideas rather than providing long-winded and potentially unclear explanations.Key results have been selected that relate to the material discussed and the author has provided examples of how to analyse them with the techniques developed in earlier chapters.

塞尔曼·阿克布卢特（Selman Akbulut）是一名土耳其数学家，也是密歇根州立大学的教授。研究领域是拓扑学，他专门研究了车把体理论、低维流形、辛拓扑学和G2流形，并成功地开发了四维车把体技术、解决推测和解决问题。

Selman Akbulut is a Turkish mathematician and a Professor at Michigan State University. His research is in topology and he has specifically worked on handlebody theory, low-dimensional manifolds, symplectic topology and G2 manifolds with success in developing 4-dimensional handlebody techniques, settling conjectures and solving problems.

1: 4-manifold handlebodies

2: Building low dimensional manifolds

3: Gluing 4 manifolds along their boundaries

4: Bundles

5: 3-manifolds

6: Operations

7: Lefschetz Fibrations

8: Symplectic Manifolds

9: Exotic 4-manifolds

10: Cork decomposition

11: Covering spaces

12: Complex surfaces

13: Seiberg-Witten invariants

14: Some applications