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arXiv · 1808.05585

Distinguishing G_2-manifolds

Diarmuid Crowley·Sebastian Goette·Johannes Nordström
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Abstract

In this survey, we describe invariants that can be used to distinguish connected components of the moduli space of holonomy G_2 metrics on a closed 7-manifold, or to distinguish G_2-manifolds that are homeomorphic but not diffeomorphic. We also describe the twisted connected sum and extra-twisted connected sum constructions used to realise G_2-manifolds for which the above invariants differ.

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Diarmuid Crowley, Sebastian Goette, Johannes Nordström. 2018-08-16. Distinguishing G_2-manifolds. https://arxiv.org/abs/1808.05585

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