卡拉比-丘流形和相关几何

图书标准信息

• 作者 [英]格罗斯（Mark Gross）、[英]格罗斯（Mark Gross） 著
• 出版社 世界图书出版公司
• 出版时间 2011-06
• 版次 1
• ISBN 9787510035128
• 定价 29.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 239页
• 正文语种 英语
• 原版书名 Calabi-Yau Manifolds and Related Geometries

【内容简介】

Eachsummersince1996,algebraicgeometersandalgebraistsinNorwayhaveorganisedasummerschoolinNordfjordeid,asmallplaceinthewesternpartofNorway.Inadditiontothebeautyoftheplace,locatedbetweenthemountains,closetothefjordandnotfarfromtheNorway'slargestglacier,areasonforgoingthereisthatSophusLiewasbornandspenthisfewfirstyearsinNordfjordeid,soithasaflavourofboththeexoticandpilgrimage.Itisalsoconvenient:themunicipalityofEidhascreatedaconferencecentrenamedafterSophusLie,aimedatattractingactivitiestofillthesummertermofthelocalboardingschool.

【目录】

Preface
Part1RiemannianHolonomyGroupsandCalibratedGeometry
1Introduction
2IntroductiontoHolonomyGroups
3Berger'sClassificationofHolonomyGroups
4KahlerGeometryandHolonomy
5TheCalabiConjecture
6TheExceptionalHolonomyGroups
7IntroductiontoCalibratedGeometry
8CalibratedSubmanifoldsinRn
9ConstructionsofSLm-foldsinCm
10CompactCalibratedSubmanifolds
11SingularitiesofSpecialLagrangianm-folds
12TheSYZConjecture,andSLFibrations

Part2Calabi-YauManifoldsandMirrorSymmetry
13Introduction
14TheClassicalGeometryofCalabi-YauManifolds
15KahlerModuliandGromov-WittenInvariants
16VariationandDegenerationofHodgeStructures
17AMirrorConjecture
18MirrorSymmetryinPractice
19TheStrominger-Yau-ZaslowApproachtoMirrorSymmetry

Part3CompactHyperkahlerManifolds
20Introduction
21HolomorphicSymplectlcManifolds
22DeformationsofComplexStructures
23TheBeauville-BogomolovForm
24CohomologyofCompactHyperkahlerManifolds
25TwistorSpaceandModuliSpace
26ProjectivityofHyperkahlerManifolds
27BirationalHyperkahlerManifolds
28The（Birational）KahlerCone
References
Index