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arXiv · hep-th/9511206

On Quantum Cohomology Rings for Hypersurfaces in $CP^{N-1}$

Masao Jinzenji
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Abstract

Using the torus action method, we construct one variable polynomial representation of quantum cohomology ring for degree $k$ hypersurface in $CP^{N-1}$ . The results interpolate the well-known result of $CP^{N-2}$ model and the one of Calabi-Yau hypersuface in $CP^{N-1}$. We find in $k\leq N-2$ case, principal relation of this ring have very simple form compatible with toric compactification of moduli space of holomorphic maps from $CP^{1}$ to $CP^{N-1}$.

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Masao Jinzenji. 1996-04-12. On Quantum Cohomology Rings for Hypersurfaces in $CP^{N-1}$. https://doi.org/10.1063/1.532228

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