• DOI:10.1007/S00208-020-02009-1
Corpus ID: 119613396

Exotic G_2-manifolds

@article{Crowley2014ExoticG,
  title={Exotic G_2-manifolds},
  author={D. Crowley and Johannes Nordstrom},
  journal={arXiv: Algebraic Geometry},
  year={2014}
}

D. Crowley, Johannes Nordstrom

Published 2014

Mathematics

arXiv: Algebraic Geometry

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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.