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portada Compact Manifolds With Special Holonomy (Oxford Mathematical Monographs)
Type
Physical Book
Publisher
Author
Year
2000
Language
English
Pages
448
Format
Hardcover
ISBN
0198506015
ISBN13
9780198506010
Categories

Compact Manifolds With Special Holonomy (Oxford Mathematical Monographs)

Dominic D. Joyce (Author) · Oxford University Press · Hardcover

Compact Manifolds With Special Holonomy (Oxford Mathematical Monographs) - Dominic D. Joyce

New Book Imported to South Africa
Delivery: 22 Sep - 30 Sep Shipping: 6 to 7 business days.
R 5,823
R 5,823

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Synopsis "Compact Manifolds With Special Holonomy (Oxford Mathematical Monographs) "

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kähler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperkähler manifolds). These are constructed and studied using complex algebraic geometry. The second half of the book is devoted to constructions of compact 7- and 8-manifolds with the exceptional holonomy groups 92 and Spin(7). Many new examples are given, and their Betti numbers calculated. The first known examples of these manifolds were discovered by the author in 1993-5. This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions.

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