Distinguishing G₂-manifolds
classification
🧮 math.DG
math.AT
keywords
connectedmanifoldsdescribedistinguishinvariantsusedaboveclosed
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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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