图书信息
图书目录
紧Kähler流形的基本群（影印版）
暂无简介
作者：
J. Amorós, M. Burger, K. Corlette, D. Kotschick, D. Toledo
定价：
67.00元
出版时间：
2020-04-27
ISBN：
978-7-04-053633-1
物料号：
53633-00
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：
256.000千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
- 前辅文
- Chapter 1 Introduction
- 1.Kahler geometry
- 2.Kahler and non-Kahler groups
- 3.Fundamental groups of compact complex surfaces
- 4.Complex symplectic non-Kahler manifolds
- Chapter 2 Fibering Kahler manifolds and Kahler groups
- 1.The fibration problem
- 2.The Albanese map and free Abelian representations
- 3.Fibering over Riemann surfaces
- 4.Fibering compact complex surfaces
- Chapter 3 The de Rham fundamental group
- 1.The de Rham fundamental group and the 1-minimal model
- 2.Formality of compact Kahler manifolds
- 3.Applications to the fundamental group and examples
- 4.The Albanese map and the de Rham fundamental group
- 5.Non-fibered Kahler groups
- 6.Mixed Hodge structures on the de Rham fundamental group
- Chapter 4 L2-cohomology of Kahler groups
- 1.Introduction
- 2.Simplicial L2-cohomology and ends
- 3.de Rham L2-cohomology
- 4.Fibering Kahler manifolds over D2
- 5.Fibering Kahler manifolds over Riemann surfaces
- Chapter 5 Existence theorems for harmonic maps
- 1.Definitions
- 2.Hartman's uniqueness theorem
- 3.The Eells-Sampson theorem
- 4.Equivariant harmonic maps
- Chapter 6. Applications of harmonic maps
- 1.Existence of pluriharmonic maps
- 2.First applications
- 3.Period domains
- 4.The factorisation theorem
- 5.Non-linear groups
- 6.Harmonic maps to trees
- Chapter 7 Non-Abelian Hodge theory
- 1.Basic concepts
- 2.Yang-Mills equations and the C*-action on Higgs bundles
- 3.Hyperkahler structures and complete integrability
- 4.Applications
- Chapter 8 Positive results for infinite groups
- 1.Introduction
- 2.The first construction
- 3.A Lefschetz theorem for smooth open varieties
- 4.The general construction
- 5.Non-residually finite Kahler groups
- Appendix A. Pro group theory
- 1.Definitions of group completions
- 2.Nilpotent completions
- 3.Comparison of nilpotent completions
- Appendix B. A glossary of Hodge theory
- Bibliography
- Index
