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Compact Manifolds with Special Holonomy

Bog
  • Format
  • Bog, hardback
  • Engelsk

Beskrivelse

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 This is the first book to be written about them, and contains much previously unpublished material whichsignificantly improves the original constructions.

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Detaljer
  • SprogEngelsk
  • Sidetal452
  • Udgivelsesdato21-04-2008
  • ISBN139780198506010
  • Forlag Oxford University Press
  • MålgruppeFrom age 0
  • FormatHardback
Størrelse og vægt
  • Vægt805 g
  • Dybde2,8 cm
  • coffee cup img
    10 cm
    book img
    16,1 cm
    24,1 cm

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