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On the moduli space of ricci flat metrics on a K3 surface

Differential Geometry 2020-11-30 v1

Abstract

We show that the moduli space of Ricci flat metrics of unit volume (including orbifold metrics) on a K3 surface is simply connected and that it has the same rational cohomology as the automorphism group of the K3 lattice (E8)2U3(-E_8)^{\oplus 2}\oplus U^{\oplus 3}.

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Cite

@article{arxiv.2011.13298,
  title  = {On the moduli space of ricci flat metrics on a K3 surface},
  author = {David Degen},
  journal= {arXiv preprint arXiv:2011.13298},
  year   = {2020}
}

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7 pages