Betti numbers of a class of barely G2 manifolds

Abstract

We calculate explicitly the Betti numbers of a class of barely G2 manifolds - that is, G2 manifolds that are realised as a product of a Calabi-Yau manifold and a circle, modulo an involution. The particular class which we consider are those spaces where the Calabi-Yau manifolds are complete intersections of hypersurfaces in products of complex projective spaces and the involutions are free acting.

13 pages

References in corpus (4)

• M theory and Singularities of Exceptional Holonomy Manifolds
• Flows of G_2 Structures, I
• Hodge Theory for G2-manifolds: Intermediate Jacobians and Abel-Jacobi maps
• Local geometry of the G2 moduli space

Cited by in corpus (2)

• Moduli spaces of G2 manifolds
• A construction of $G_2$-manifolds from K3 surfaces with a ${\mathbb{Z}}_2^2$-action