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arXiv · 1909.11473

Constructions of compact G2-holonomy manifolds

Alexei Kovalev
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Abstract

This is a survey paper. We explain the known constructions for two geometrically different classes of examples of compact Riemannian 7-manifolds with holonomy G2. One method uses resolutions of singularities of appropriately chosen 7-dimensional orbifolds, with the help of asymptotically locally Euclidean spaces. Another method uses the gluing of two asymptotically cylindrical pieces and requires a certain matching condition for their cross-sections `at infinity'.

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Alexei Kovalev. 2019-09-25. Constructions of compact G2-holonomy manifolds. https://arxiv.org/abs/1909.11473

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