紧Kähler流形的基本群（影印版）

样章

作者：

J. Amorós, M. Burger, K. Corlette, D. Kotschick, D. Toledo

定价：

67.00 元

版面字数：

256千字

开本：

16开

装帧形式：

精装

版次：

最新版次
印刷时间：

2020年

ISBN：

978-7-04-053633-1

物料号：

53633-00

出版时间：

2020-04-27

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

暂无

目录
- 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