On quantum cohomology rings for hypersurfaces in CPN-1

Masao Jinzenji

doi:10.1063/1.532228

On quantum cohomology rings for hypersurfaces in CP^N-1

Masao Jinzenji

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Using the torus action method, we construct a 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 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 CP^N-1.

Original language	English
Pages (from-to)	6613-6638
Number of pages	26
Journal	Journal of Mathematical Physics
Volume	38
Issue number	12
DOIs	https://doi.org/10.1063/1.532228
Publication status	Published - Dec 1997
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.532228

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abstract = "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.",

author = "Masao Jinzenji",

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AB - 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.

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On quantum cohomology rings for hypersurfaces in CP^N-1

Abstract

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