图书信息
图书目录
3 维流形引论（影印版）
暂无简介
作者：
Jennifer Schultens
定价：
135.00元
出版时间：
2023-03-24
ISBN：
978-7-04-059303-7
物料号：
59303-00
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：
代数几何学
重点项目：
暂无
版面字数：
500.000千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
- 前辅文
- Chapter 1 Perspectives on Manifolds
- 1.1 Topological Manifolds
- 1.2 Differentiable Manifolds
- 1.3 Oriented Manifolds
- 1.4 Triangulated Manifolds
- 1.5 Geometric Manifolds
- 1.6 Connected Sums
- 1.7 Equivalence of Categories
- Chapter 2 Surfaces
- 2.1 A Few Facts about 1-Manifolds
- 2.2 Classification of Surfaces
- 2.3 Decompositions of Surfaces
- 2.4 Covering Spaces and Branched Covering Spaces
- 2.5 Homotopy and Isotopy on Surfaces
- 2.6 The Mapping Class Group
- Chapter 3 3-Manifolds
- 3.1 Bundles
- 3.2 The Sch¨onflies Theorem
- 3.3 3-Manifolds that are Prime but Reducible
- 3.4 Incompressible Surfaces
- 3.5 Dehn’s Lemma*
- 3.6 Hierarchies*
- 3.7 Seifert Fibered Spaces
- 3.8 JSJ Decompositions
- 3.9 Compendium of Standard Arguments
- Chapter 4 Knots and Links in 3-Manifolds
- 4.1 Knots and Links
- 4.2 Reidemeister Moves
- 4.3 Basic Constructions
- 4.4 Knot Invariants
- 4.5 Zoology
- 4.6 Braids
- 4.7 The Alexander Polynomial
- 4.8 Knots and Height Functions
- 4.9 The Knot Group*
- 4.10 Covering Spaces*
- Chapter 5 Triangulated 3-Manifolds
- 5.1 Simplicial Complexes
- 5.2 Normal Surfaces
- 5.3 Diophantine Systems
- 5.4 2-Spheres*
- 5.5 Prime Decompositions
- 5.6 Recognition Algorithms
- 5.7 PL Minimal Surfaces**
- Chapter 6 Heegaard Splittings
- 6.1 Handle Decompositions
- 6.2 Heegaard Diagrams
- 6.3 Reducibility and Stabilization
- 6.4 Waldhausen’s Theorem
- 6.5 Structural Theorems
- 6.6 The Rubinstein-Scharlemann Graphic
- 6.7 Weak Reducibility and Incompressible Surfaces
- 6.8 Generalized Heegaard Splittings
- 6.9 An Application
- 6.10 Heegaard Genus and Rank of Fundamental Group*
- Chapter 7 Further Topics
- 7.1 Basic Hyperbolic Geometry
- 7.2 Hyperbolic n-Manifolds∗∗
- 7.3 Dehn Surgery I
- 7.4 Dehn Surgery II
- 7.5 Foliations
- 7.6 Laminations
- 7.7 The Curve Complex
- 7.8 Through the Looking Glass**
- Appendix A General Position
- Appendix B Morse Functions
- Bibliography
- Index
