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arXiv · 1110.2623

G2-manifolds from K3 surfaces with non-symplectic automorphisms

Max Pumperla·Frank Reidegeld
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Abstract

We show that K3 surfaces with non-symplectic automorphisms of prime order can be used to construct new compact irreducible G2-manifolds. This technique was carried out in detail by Kovalev and Lee for non-symplectic involutions. We use Chen-Ruan orbifold cohomology to determine the Hodge diamonds of certain complex threefolds, which are the building blocks for this approach.

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BibTeXRIS

Max Pumperla, Frank Reidegeld. 2011-10-12. G2-manifolds from K3 surfaces with non-symplectic automorphisms. https://doi.org/10.1016/j.geomphys.2012.06.002

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