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Compact Manifolds with Special Holonomy

Name: Compact Manifolds with Special Holonomy
Brand: Oxford University Press
SKU: 04526882
Price: 197.29 EUR
Availability: InStock
Author: Dominic David Joyce
ISBN: 9780198506010

Dominic David Joyce

Language

English

Book Hardback

Libristo code: 04526882

Publishers Oxford University Press, July 2000

The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian,... Full description

Libristo code: 04526882

483 b

197.29 € VAT included

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The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler 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) (hyperkahler 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 This is the first book to be written about them, and contains much previously unpublished material, which significantly improves the original constructions.