《卡拉比-丘流形和相關幾何》 是世界圖書出版公司出版的圖書， ISBN是9787510035128，出版時間是 第1版 (2011年6月1日)
基本介紹
- 中文名：卡拉比 - 丘流形和相關幾何
- 別名：其他名稱或其他譯名
- 作者：（英國）格羅斯（MarkGross），（英國）DanielHuybrechts，（英國）DominicJoyce
- 原作品：calabi-yau歧管和相關幾何形狀
- 出版社：世界圖書出版公司;
- 出版時間：2011年6月1日
- 頁數：239 頁
- 開本：24 開
- 裝幀：平裝
- ISBN：9787510035128
- 國際標準書號：9787510035128
內容簡介,目錄,
內容簡介
《卡拉比?丘流形和相關幾何(英文)》主要內容簡介：Eachsummersince1996,algebraicgeometersandalgebraistsinNorwayhaveorganisedasummerschoolinNordfjordeid,asmallplaceinthewesternpartofNorway.Inadditiontothebeautyoftheplace,locatedbetweenthemountains,closetothefjordandnotfarfromtheNorway'slargestglacier,areasonforgoingthereisthatSophusLiewasbornandspenthisfewfirstyearsinNordfjordeid,soithasaflavourofboththeexoticandpilgrimage.Itisalsoconvenient:themunicipalityofEidhascreatedaconferencecentrenamedafterSophusLie,aimedatattractingactivitiestofillthesummertermofthelocalboardingschool.
目錄
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
