Calabi-Yau Manifolds and Related Geometries
1 edition
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Contributions
- Geir Ellingsrud (Editor) - Contributor
- Loren Olson (Editor) - Contributor
- Kristian Ranestad (Editor) - Contributor
- Stein A. Stromme (Editor) - Contributor
Publication
2003-01-17 - Springer
Language
English
Word Count
59,750 words, Guess
Page Count
239 pages
Physical Format
Paperback
Identifiers
- Internet Archivecalabiyaumanifol00joyc
- Internet Archivecalabiyaumanifol2001gros
- ISBN-103540440593
- ISBN-139783540440598
- Goodreads1110204
and 5 more
- LibraryThing5592465
- Library of Congress Control Number2002034350
- OCLC Control Number50695398
- Better World Books9783540440598
- Open LibraryOL9057881M
Classifications
- LCCQC20.7.M24 G76 2003
- LCCQA641-670
Description
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.
First Sentence
We begin by giving some background from differential and Riemannian geometry, principally to establish notation, and move on to discuss connections on vector bundles, parallel transport, and the definition of holonomy groups.
Subjects
Topics
Other Editions
- Calabi-Yau Manifolds and Related Geometries
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