卡拉比-丘流形和相關幾何

卡拉比-丘流形和相關幾何

《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

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