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.

Topics
Algebraic topology, Calabi Yau theory, Algebraic geometry
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© 1997 American Institute of Physics.
1997
American Institute of Physics
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