Calabi-Yau Manifolds and Related Geometries [electronic resource] : Lectures at a Summer School in Nordfjordeid, Norway, June 2001 /

I. 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 ?n -- 9 Constructions of SL m-folds in ?m -- 10 Compact Calibrated Submanifolds -- 11 Singularities of Special Lagrangian m-folds -- 12 The SYZ Conjecture, and SL Fibrations -- II. 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 -- III. Compact Hyperkähler Manifolds -- 20 Introduction -- 21 Holomorphic Symplectic Manifolds -- 22 Deformations of Complex Structures -- 23 The Beauville-Bogomolov Form -- 24 Cohomology of Compact Hyperkähler Manifolds -- 25 Twistor Space and Moduli Space -- 26 Projectivity of Hyperkähler Manifolds -- 27 Birational Hyperkähler Manifolds -- 18 The (Birational) Kahler Cone -- References.

Bibliographic Details

Main Authors:	Gross, Mark. author., Joyce, Dominic. author., Huybrechts, Daniel. author., Ellingsrud, Geir. editor., Ranestad, Kristian. editor., Olson, Loren. editor., Strømme, Stein A. editor., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003
Subjects:	Mathematics., Algebraic geometry., Differential geometry., Topology., Differential Geometry., Algebraic Geometry.,
Online Access:	http://dx.doi.org/10.1007/978-3-642-19004-9
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