%0 Journal Article
%T On the Quantum Cohomology Rings of General Type Projective Hypersurfaces and Generalized Mirror Transformation
%A M. Jinzenji
%J Mathematics
%D 1998
%I arXiv
%R 10.1142/S0217751X00000707
%X In this paper, we study the structure of the quantum cohomology ring of a projective hypersurface with non-positive 1st Chern class. We prove a theorem which suggests that the mirror transformation of the quantum cohomology of a projective Calabi-Yau hypersurface has a close relation with the ring of symmetric functions, or with Schur polynomials. With this result in mind, we propose a generalized mirror transformation on the quantum cohomology of a hypersurface with negative first Chern class and construct an explicit prediction formula for three point Gromov-Witten invariants up to cubic rational curves. We also construct a projective space resolution of the moduli space of polynomial maps, which is in a good correspondence with the terms that appear in the generalized mirror transformation.
%U http://arxiv.org/abs/hep-th/9811124v3