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Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001
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Catalogue Information
Field name
Details
Dewey Class
516.36
Title
Calabi-Yau Manifolds and Related Geometries ([EBook]) : Lectures at a Summer School in Nordfjordeid, Norway, June 2001 / by Mark Gross, Dominic Joyce, Daniel Huybrechts ; edited by Geir Ellingsrud, Kristian Ranestad, Loren Olson, Stein A. Strømme.
Author
Gross, Mark W. , 1965-
Added Personal Name
Joyce, Dominic
Huybrechts, Daniel
Ellingsrud, Geir
Ranestad, Kristian
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer Berlin Heidelberg , 2003
Physical Details
VIII, 244 p. 2 illus. : online resource.
Series
Universitext
0172-5939
ISBN
9783642190049
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-642-19004-9
Links to Related Works
Subject References:
Algebraic Geometry
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Differential Geometry
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Mathematics
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Topology
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Authors:
author
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editor
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Ellingsrud, Geir
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Gross, Mark W. 1965-
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Huybrechts, Daniel
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Joyce, Dominic
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Ranestad, Kristian
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Corporate Authors:
SpringerLink (Online service)
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Series:
Universitext
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Classification:
516.36
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516.36 (DDC 23)
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