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

ISBN：

978-7-04-053633-1

版面字数：

256.000千字

开本：

16开

全书页数：

暂无

装帧形式：

精装

重点项目：

暂无

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

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