Calabi-Yau流形和相关几何
Calabi-Yau流形和相关几何封面图

Calabi-Yau流形和相关几何

(英) 格罗斯 (Gross,M.) , 等著

出版社:世界图书出版公司北京公司

年代:2011

定价:29.0

书籍简介:

本书是由2001年夏天Norway,Nordfjordeid讲述辛几何的讲义扩展而成。突出讲述Calabi-Yau是本书的最大特点。第一部分讲述完整群和已校准子流形,强调特殊拉格朗日算符子流形和SYZ猜想;第二部分运用代数几何讲述Calabi-Yau流形和镜子对称。最后一部分讲述紧hyperkahler流形,它具有的几何结果和Calabi-Yau流形有很大的关系。

书籍目录:

Preface

Part 1 Riemannian Holonomy Groups and Calibrated Geometry

1 Introduction

2 Introduction to Holonomy Groups

3 Berger's Classification of Holonomy Groups

4 Kahler Geometry and Holonomy

5 The Calabi Conjecture

6 The Exceptional Holonomy Groups

7 Introduction to Calibrated Geometry

8 Calibrated Submanifolds in Rn

9 Constructions of SL m-folds in Cm

10 Compact Calibrated Submanifolds

11 Singularities of Special Lagrangian m-folds

12 The SYZ Conjecture, and SL Fibrations

Part 2 Calabi-Yau Manifolds and Mirror Symmetry

13 Introduction

14 The Classical Geometry of Calabi-Yau Manifolds

15 Kahler Moduli and Gromov-Witten Invariants

16 Variation and Degeneration of Hodge Structures

17 A Mirror Conjecture

18 Mirror Symmetry in Practice

19 The Strominger-Yau-Zaslow Approach to Mirror Symmetry

Part 3 Compact Hyperkahler Manifolds

20 Introduction

21 Holomorphic Symplectlc Manifolds

22 Deformations of Complex Structures

23 The Beauville-Bogomolov Form

24 Cohomology of Compact Hyperkahler Manifolds

25 Twistor Space and Moduli Space

26 Projectivity of Hyperkahler Manifolds

27 Birational Hyperkahler Manifolds

28 The (Birational) Kahler Cone

References

Index

内容摘要:

Each summer since 1996, algebraic geometers and algebraists in Norway have organised a summer school in Nordfjordeid, a small place in the western part of Norway. In addition to the beauty of the place, located between the mountains, close to the fjord and not far from the Norway's largest glacier,a reason for going there is that Sophus Lie was born and spent his few first years in Nordfjordeid, so it has a flavour of both the exotic and pilgrimage.It is also convenient: the municipality of Eid has created a conference centre named after Sophus Lie, aimed at attracting activities to fill the summer term of the local boarding school.

书籍规格:

书籍详细信息
书名Calabi-Yau流形和相关几何站内查询相似图书
9787510035128
如需购买下载《Calabi-Yau流形和相关几何》pdf扫描版电子书或查询更多相关信息,请直接复制isbn,搜索即可全网搜索该ISBN
出版地北京出版单位世界图书出版公司北京公司
版次影印本印次1
定价(元)29.0语种英文
尺寸23 × 15装帧平装
页数 252 印数 1000

书籍信息归属:

Calabi-Yau流形和相关几何是世界图书出版公司北京公司于2011.5出版的中图分类号为 O189.3 的主题关于 流形几何-研究-英文 的书籍。