Mirror Duality in a Joyce Manifold
Geometric Topology
2009-08-19 v3 High Energy Physics - Theory
Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0707.1512,
title = {Mirror Duality in a Joyce Manifold},
author = {Selman Akbulut and Baris Efe and Sema Salur},
journal= {arXiv preprint arXiv:0707.1512},
year = {2009}
}
Comments
9 pages, 4 figures, revised version, to appear in Advances in Mathematics