Compact Manifolds with Special Holonomy

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ID: 298148
2000
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Abstract
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 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 This is the first book to be written about them, and contains much previously unpublished material which significantly improves the original constructions.
Reference Key
openalex_W1941650215 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Dominic Joyce
Journal Oxford University Press eBooks
Year 2000
DOI
10.1093/oso/9780198506010.001.0001
URL
https://doi.org/10.1093/oso/9780198506010.001.0001
Keywords Keywords not found

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