2014•arXiv (Cornell University)Open access

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

Nam‐Hoon Lee

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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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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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Available 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.

Key concepts: Holonomy, Calabi–Yau manifold, Manifold (fluid mechanics), Pure mathematics, Mathematics, Spin (aerodynamics), Physics, Engineering

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