Betti numbers of a class of barely G2 manifolds

Grigorian, Sergey

doi:10.1007/s00220-010-1152-2

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Betti numbers of a class of barely G2 manifolds

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Grigorian, Sergey
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0909.4681v1.pdf
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CMP301_383.pdf
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Citation

Grigorian, S. (2011). Betti numbers of a class of barely G2 manifolds. Communications in Mathematical Physics, 301(1), 215-227. doi:10.1007/s00220-010-1152-2.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-60FE-6

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.