Using the torus action method, we construct a one-variable polynomial representation of quantum cohomology ring for degree k hypersurface in CPN-1. The results interpolate the well-known result of CPN-2 model and the one of Calabi-Yau hypersuface in CPN-1. We find in the k≤N-2 case, the principal relation of this ring has a very simple form compatible with toric compactification of moduli space of holomorphic maps from CP1 to CPN-1.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics