A compact manifold with holonomy Spin(7) from Beauville's Calabi-Yau fourfold

preprint2014arXivOpen access

Abstract

We give a new example of a compact manifold with holonomy Spin(7) from a Beauville's Calabi-Yau fourfold. Its construction is very concrete, starting with products of elliptic curves with complex multiplications --- so probably more accessible to physicists.

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