Compact Manifolds with Special Holonomy (English, Dominic D. Joyce)
Science & Mathematics

Compact Manifolds with Special Holonomy (English, Dominic D. Joyce)

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Book Details

ISBN-139780198506010
ISBN-100198506015

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About the Book

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-manifold…

ISBN: 9780198506010

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