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Existence of torsion-free $G_2$-structures on resolutions of $G_2$-orbifolds using weighted Holder norms

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 نشر من قبل Daniel Platt
 تاريخ النشر 2020
  مجال البحث
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 تأليف Daniel Platt




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An alternative proof of the existence of torsion-free $G_2$-structures on resolutions of $G_2$-orbifolds considered in arXiv:1707.09325 is given. The proof uses weighted Holder norms which are adapted to the geometry of the manifold. This leads to better control of the torsion-free $G_2$-structure and a simplification over the original proof.



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