Exotic G_2-manifolds

@article{Crowley2014ExoticG,
title={Exotic G_2-manifolds},
author={D. Crowley and Johannes Nordstrom},
journal={arXiv: Algebraic Geometry},
year={2014}
}
• Published 2014
• Mathematics
• arXiv: Algebraic Geometry
• We exhibit the first examples of closed 7-dimensional Riemannian manifolds with holonomy G_2 that are homeomorphic but not diffeomorphic. These are also the first examples of closed Ricci-flat manifolds that are homeomorphic but not diffeomorphic. The examples are generated by applying the twisted connected sum construction to Fano 3-folds of Picard rank 1 and 2. The smooth structures are distinguished by the generalised Eells-Kuiper invariant introduced by the authors in arXiv:1406.2226.
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References

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