图书信息
图书目录
4维流形与Kirby演算（影印版）
暂无简介
作者：
Robert E. Gompf，András I. Stipsicz
定价：
199.00元
出版时间：
2025-02-07
ISBN：
978-7-04-063236-1
物料号：
63236-00
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
拓扑学
重点项目：
暂无
版面字数：
953.00千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
- 前辅文
- Preface
- Part 1. 4-Manifolds
- Chapter 1. Introduction
- §1.1. Manifolds
- §1.2. 4-manifolds
- §1.3. Examples
- §1.4. Appendix
- Chapter 2. Surfaces in 4-manifolds
- §2.1. Surfaces in CP2
- §2.2. The blow-up process
- §2.3. Desingularization of curves
- §2.4. Appendix: Introduction to gauge theory
- Chapter 3. Complex surfaces
- §3.1. E(1) and fiber sum
- §3.2. Other constructions of elliptic fibrations
- §3.3. Logarithmic transformation
- §3.4. Classification of complex surfaces
- Chapter 1. Introduction
- Part 2. Kirby Calculus
- Chapter 4. Handlebodies and Kirby diagrams
- §4.1. Handles
- §4.2. Handle decompositions
- §4.3. Dimension three — Heegaard splittings
- §4.4. Dimension four — Kirby diagrams
- §4.5. Linking numbers and framings
- §4.6. Examples
- Chapter 5. Kirby calculus
- §5.1. Handle moves
- §5.2. Surgery
- §5.3. Dehn surgery
- §5.4. 1-handles revisited
- §5.5. Relative Kirby calculus
- §5.6. Spin structures
- §5.7. Spin structures in Kirby diagrams
- Chapter 6. More examples
- §6.1. Plumbings and related constructions
- §6.2. Embedded surfaces and their complements
- §6.3. Branched covers
- Chapter 4. Handlebodies and Kirby diagrams
- Part 3. Applications
- Chapter 7. Branched covers and resolutions
- §7.1. Definitions and examples
- §7.2. Resolution of singularities
- §7.3. Elliptic surfaces revisited
- §7.4. Surfaces of general type
- Chapter 8. Elliptic and Lefschetz fibrations
- §8.1. Lefschetz pencils and fibrations
- §8.2. The topology of Lefschetz fibrations
- §8.3. The topology of elliptic surfaces
- §8.4. Higher genus and generalized fibrations
- §8.5. Rationally blowing down
- Chapter 9. Cobordisms, h-cobordisms and exotic R4’s
- §9.1. Cobordism groups
- §9.2. h-cobordisms
- §9.3. Akbulut corks and exotic R4’s
- §9.4. More exotica
- Chapter 10. Symplectic 4-manifolds
- §10.1. Symplectic and almost-complex manifolds
- §10.2. Constructions of symplectic manifolds
- §10.3. 4-manifolds with no symplectic structure
- §10.4. Gauge theory on symplectic 4-manifolds
- Chapter 11. Stein surfaces
- §11.1. Contact structures
- §11.2. Kirby diagrams of Stein surfaces
- §11.3. Invariants of Stein and contact structures
- §11.4. Stein surfaces and gauge theory
- Chapter 7. Branched covers and resolutions
- Part 4. Appendices
- Chapter 12. Solutions
- §12.1. Solutions of some exercises in Part 1
- §12.2. Solutions of some exercises in Part 2
- §12.3. Solutions of some exercises in Part 3
- Chapter 13. Notation, important figures
- §13.1. List of commonly used notation
- §13.2. Index of important diagrams
- §13.3. Index of Kirby moves and related operations
- Chapter 12. Solutions
- Bibliography
- Index
