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Compact Manifolds with Special Holonomy

Compact Manifolds with Special Holonomy

by Dominic David Joyce
Hardback
Publication Date: 20/07/2000

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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the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions.
ISBN:
9780198506010
9780198506010
Category:
Physics
Format:
Hardback
Publication Date:
20-07-2000
Language:
English
Publisher:
Oxford University Press
Country of origin:
United Kingdom
Pages:
448
Dimensions (mm):
241x161x28mm
Weight:
0.81kg

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