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Constructing compact 8-manifolds with holonomy Spin(7) from Calabi-Yau orbifolds

Abstract:

Compact Riemannian 7- and 8-manifolds with holonomy G(2) arid Spin(7) were first constructed by the author in 1994-5, by resolving orbifolds T-7/Gamma and T-8/Gamma. This paper describes a new construction of compact 8-manifolds with holonomy Spin(7). We start with a Calabi-Yau 4-orbifold Y with isolated singularities of a special kind. We divide by an antiholomorphic involution a of Y to get a real 8-orbifold Z = Y/. Then we resolve tire singularities of Z to get a compact 8-manifold ...

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Publication status:
Published

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Journal:
EUROPEAN CONGRESS OF MATHEMATICS, VOL II More from this journal
Volume:
202
Pages:
21-30
Publication date:
2001-01-01
Event title:
3rd European Congress of Mathematics (3ecm)
ISBN:
3764364181
Keywords:
Pubs id:
pubs:20565
UUID:
uuid:a817ae63-34e0-4d26-9d1c-103582a11857
Local pid:
pubs:20565
Source identifiers:
20565
Deposit date:
2012-12-19

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