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arxiv: 0909.4681 · v1 · pith:I63SS65Dnew · submitted 2009-09-25 · 🧮 math.DG · hep-th

Betti numbers of a class of barely G2 manifolds

classification 🧮 math.DG hep-th
keywords manifoldsclassbarelybetticalabi-yaunumbersspacesacting
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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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