In this survey, we describe invariants that can be used to distinguish connected components of the moduli space of holonomy G2 metrics on a closed 7-manifold, or to distinguish -manifolds that are homeomorphic but not diffeomorphic. We also describe the twisted connected sum and extra-twisted connected sum constructions used to realise G2-manifolds for which the above invariants differ.
|Title of host publication||Fields Institute Communications|
|Number of pages||30|
|Publication status||E-pub ahead of print - 27 May 2020|
|Name||Fields Institute Communications|
- Primary: 57R20
- Secondary: 53C29
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