G2-manifolds from K3 surfaces with non-symplectic automorphisms
Differential Geometry
2015-05-30 v5
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.
Keywords
Cite
@article{arxiv.1110.2623,
title = {G2-manifolds from K3 surfaces with non-symplectic automorphisms},
author = {Max Pumperla and Frank Reidegeld},
journal= {arXiv preprint arXiv:1110.2623},
year = {2015}
}
Comments
This paper has been withdrawn since a necessary condition for the existence of an asymptotically cylindrical Calabi-Yau metric on W_1 is in fact not satisified