Geometric Aspects of Mirror Symmetry
Algebraic Geometry
2007-05-23 v1 High Energy Physics - Theory
Abstract
The geometric aspects of mirror symmetry are reviewed, with an eye towards future developments. Given a mirror pair (X,Y) of Calabi-Yau threefolds, the best-understood mirror statements relate certain small corners of the moduli spaces of X and of Y. We will indicate how one might go beyond such statements, and relate the moduli spaces more globally. In fact, in the boldest version of mirror symmetry (the Strominger-Yau-Zaslow conjecture), the Calabi-Yau threefolds X and Y should be directly related to each other through a very geometric construction.
Keywords
Cite
@article{arxiv.math/0007090,
title = {Geometric Aspects of Mirror Symmetry},
author = {David R. Morrison},
journal= {arXiv preprint arXiv:math/0007090},
year = {2007}
}
Comments
21 pages, 3 figures