Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians
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 $q$expansion principle for functions on the moduli space of CalabiYau manifolds, and the ``mirror symmetry'' phenomenon recently observed by string theorists.
 Publication:

arXiv eprints
 Pub Date:
 February 1992
 arXiv:
 arXiv:alggeom/9202004
 Bibcode:
 1992alg.geom..2004M
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 26 pp., AmSLaTeX (v1.0 or 1.1)