| Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001 Softcover Repri Edition Contributor(s): Gross, Mark (Author), Ellingsrud, Geir (Editor), Huybrechts, Daniel (Author) |
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ISBN: 3540440593 ISBN-13: 9783540440598 Publisher: Springer OUR PRICE: $80.74 Product Type: Paperback Published: November 2002 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Algebra - General - Mathematics | Geometry - Algebraic |
| Dewey: 516.362 |
| LCCN: 2002034350 |
| Series: Universitext |
| Physical Information: 0.59" H x 6.2" W x 9.22" (0.93 lbs) 244 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This 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. Proofs or sketches are given for many important results. From the reviews: "An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-K hler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS |