£155.99

Oxford University Press JOYCE:COMPACT MANIFOLDS WITH SPECIAL HOLONOMY OMM CLOTH (Oxford Mathematical Monographs)

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£155.99 £129.48 £135.26 £141.05 £146.83 £152.62 £158.40 24 March 2026 15 April 2026 07 May 2026 29 May 2026 21 June 2026

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Description

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 This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
20 July 2000
Listed Since
15 December 2006

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