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Compact manifolds with special holonomy

Abstract:

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 S...

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Publication status:
Published
Peer review status:
Reviewed (other)

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Oxford University Press
Host title:
Series: Oxford Mathematical Monographs
Publication date:
2000-01-01
ISBN-10:
0198506015
ISBN-13:
9780198506010
Pubs id:
pubs:19763
UUID:
uuid:d3cf444f-8dab-43d7-974c-f5e4ae9f0a08
Local pid:
pubs:19763
Source identifiers:
19763
Deposit date:
2015-05-04

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