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Compact Manifolds with Special Holonomy

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Compact Manifolds with Special Holonomy - Joyce, Dominic D
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The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and K???hler 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) (hyperk???hler 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 ...

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Compact Manifolds with Special Holonomy 2000, Oxford University Press, USA, Oxford, England

ISBN-13: 9780198506010

Hardcover