Betti numbers of a class of barely G2 manifolds

Details Betti numbers of a class of barely G2 manifolds Betti numbers of a class of barely G2 manifolds

2009-09-25

arxiv.org/abs/0909.4681v1

Commun.Math.Phys.301:215-227,2011

Mathematics

Differential Geometry

13 pages

Scientific paper

10.1007/s00220-010-1152-2

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.

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