A Mirror Theorem for the Mirror Quintic
Algebraic Geometry
2014-11-11 v1
Abstract
The celebrated Mirror Theorem states that the genus zero part of the A model (quantum cohomology, rational curves counting) of the Fermat quintic threefold is equivalent to the B model (complex deformation, variation of Hodge structure) of its mirror dual orbifold. In this article, we establish a mirror-dual statement. Namely, the B model of the Fermat quintic threefold is shown to be equivalent to the A model of its mirror, and hence establishes the mirror symmetry as a true duality.
Cite
@article{arxiv.1209.2487,
title = {A Mirror Theorem for the Mirror Quintic},
author = {Y. -P. Lee and M. Shoemaker},
journal= {arXiv preprint arXiv:1209.2487},
year = {2014}
}