Compact Manifolds with Special Holonomy

Name: Compact Manifolds with Special Holonomy
Brand: Oxford University Press
SKU: 9780198506010
Price: 933.3 RON
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Autor: Dominic David Joyce

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Editura: Oxford University Press

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

Informații despre carte

Autor

Dominic David Joyce

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2000

Pagini

448

EAN

9780198506010

ISBN

0198506015

Enbook ID

04526882

Editura

Oxford University Press

Greutate

805

Dimensiuni

161 x 241 x 28

Descriere completă

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 This is the first book to be written about them, and contains much previously unpublished material, which significantly improves the original constructions.

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Compact Manifolds with Special Holonomy

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