Mirror Duality in a Joyce Manifold

Abstract

Previously the two of the authors defined a notion of dual Calabi-Yau manifolds in a G2 manifold, and described a process to obtain them. Here we apply this process to a compact G2 manifold, constructed by Joyce, and as a result we obtain a pair of Borcea-Voisin Calabi-Yau manifolds, which are known to be mirror duals of each other.

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