G2-manifolds from K3 surfaces with non-symplectic automorphisms

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Pumperla, Max²  Reidegeld, Frank¹ 

[1] Tech Univ Dortmund, Fak Math, Lehrstuhl 7, D-44221 Dortmund, Germany

[2] Univ Hamburg, Dept Math, D-20146 Hamburg, Germany

关键词: G(2)-manifolds;    K3 surfaces;    Generalized connected sums;   

DOI  :  10.1016/j.geomphys.2012.06.002

来源: Elsevier

【 摘 要 】

We show that K3 surfaces with non-symplectic automorphisms of prime order can be used to construct new compact irreducible G(2)-manifolds. This technique was carried out in detail by Kovalev and Lee for non-symplectic involutions. We use the Chen-Ruan orbifold cohomology to determine the Hodge diamonds of certain complex threefolds, which are the building blocks for this approach. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free