Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We give a mathematical account of a recent string theory calculation which predicts the number of rational curves on the generic quintic threefold. Our account involves the interpretation of Yukawa couplings in terms of variations of Hodge structure, a new -expansion principle for functions on the moduli space of Calabi-Yau manifolds, and the ``mirror symmetry'' phenomenon recently observed by string theorists.
Keywords
Cite
@article{arxiv.alg-geom/9202004,
title = {Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians},
author = {David R. Morrison},
journal= {arXiv preprint arXiv:alg-geom/9202004},
year = {2008}
}
Comments
26 pp., AmS-LaTeX (v1.0 or 1.1)