Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions

Rhys Davies

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arXiv · 0911.0708

Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions

Rhys Davies

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Abstract

The moduli space of multiply-connected Calabi-Yau threefolds is shown to contain codimension-one loci on which the corresponding variety develops a certain type of hyperquotient singularity. These have local descriptions as discrete quotients of the conifold, and are referred to here as hyperconifolds. In many (or possibly all) cases such a singularity can be resolved to yield a distinct compact Calabi-Yau manifold. These considerations therefore provide a method for embedding an interesting class of singularities in compact Calabi-Yau varieties, and for constructing new Calabi-Yau manifolds. It is unclear whether the transitions described can be realised in string theory.

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Rhys Davies. 2009-11-03. Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions. https://arxiv.org/abs/0911.0708

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