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Calabi-Yau Manifolds and Related Geometries : Lectures at a Summer School in Nordfjordeid, Norway, June 2001

Author: Mark GrossDominic JoyceDaniel HuybrechtsGeir EllingsrudKristian RanestadAll authors
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2003.
Series: Universitext.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is an expanded version of lectures given at a summer school on symplectic geometry in Nordfjordeid, Norway, in June 2001. The unifying feature of the book is an emphasis on Calabi-Yau manifolds. The first part discusses holonomy groups and calibrated submanifolds, focusing on special Lagrangian submanifolds and the SYZ conjecture. The second studies Calabi-Yau manifolds and mirror symmetry, using algebraic  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mark Gross; Dominic Joyce; Daniel Huybrechts; Geir Ellingsrud; Kristian Ranestad; Loren Olson; Stein A Strømme
ISBN: 9783642190049 3642190049
OCLC Number: 851823607
Description: 1 online resource (viii, 244 pages).
Contents: I. Riemannian holonomy groups and calibrated geometry by Dominic Joyce --
II. Calabi-Yau manifolds and mirror symmetry by Mark Gross --
III. Compact hyperkahler manifolds by Daniel Huybrechts --
References --
Index.
Series Title: Universitext.
Responsibility: by Mark Gross, Dominic Joyce, Daniel Huybrechts ; edited by Geir Ellingsrud, Kristian Ranestad, Loren Olson, Stein A. Strømme.

Abstract:

This book is an expanded version of lectures given at a summer school on symplectic geometry in Nordfjordeid, Norway, in June 2001. The unifying feature of the book is an emphasis on Calabi-Yau manifolds. The first part discusses holonomy groups and calibrated submanifolds, focusing on special Lagrangian submanifolds and the SYZ conjecture. The second studies Calabi-Yau manifolds and mirror symmetry, using algebraic geometry. The final part describes compact hyperkahler manifolds, which have a geometric structure very closely related to Calabi-Yau manifolds. The book is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory and intended as an introductory text, requiring only limited background knowledge. Proofs or sketches are given for many important results. Moreover, exercises are provided.

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