Mirror Duality in a Joyce Manifold

Details Mirror Duality in a Joyce Manifold Mirror Duality in a Joyce Manifold

2007-07-10

arxiv.org/abs/0707.1512v3

Mathematics

Geometric Topology

9 pages, 4 figures, revised version, to appear in Advances in Mathematics

Scientific paper

Previously the two of the authors defined a notion of dual Calabi-Yau
manifolds in a G_2 manifold, and described a process to obtain them. Here we
apply this process to a compact G_2 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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