Superstring compactification: The geometry of three pairs of mirror manifolds

he consequences of mirror symmetry are explored through three examples: ;The moduli space of ;Many manifolds, such as ;The familiar duality invariance of tori is demonstrated to be valid on the smooth Z manifold and the modular parameters of the Z are found to be a ratio of integral periods on the manifold. The construction of the mirror of the Z is confirmed by comparing the orbifold limit of the Yukawa couplings on the Z manifold to previous calculations of the Yukawa couplings on the...