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arXiv · 1010.1878

Completing the Web of $Z_3$ - Quotients of Complete Intersection Calabi-Yau Manifolds

Philip Candelas·Andrei Constantin
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Abstract

We complete the study of smooth $Z_3$-quotients of complete intersection Calabi-Yau threefolds by discussing the six new manifolds that admit free $Z_3$ actions that were discovered discovered recently by Braun. These manifolds were missed in an earlier work and complete the web of smooth $Z_3$-quotients in a nice way. We discuss the transitions between these manifolds and include also the other manifolds of the web. This leads to the conclusion that the web of $Z_3$-free quotients of complete intersection Calabi-Yau threefolds is connected by conifold transitions.

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Philip Candelas, Andrei Constantin. 2010-10-09. Completing the Web of $Z_3$ - Quotients of Complete Intersection Calabi-Yau Manifolds. https://doi.org/10.1002/prop.201200044

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