# Generalized Hypergeometric Functions for Degree k Hypersurface in   CP^{N-1} and Intersection Numbers of Moduli Space of Quasimaps from CP^{1}   with Two Marked Points to CP^{N-1}

**Authors:** Masao Jinzenji, Kohki Matsuzaka

arXiv: 2302.12947 · 2024-07-02

## TL;DR

This paper derives generalized hypergeometric functions as generating functions for intersection numbers on the moduli space of quasimaps from CP^{1} to CP^{N-1}, aiding mirror symmetry computations for degree k hypersurfaces.

## Contribution

It introduces a new connection between hypergeometric functions and intersection theory on quasimap moduli spaces for hypersurfaces in projective space.

## Key findings

- Derived hypergeometric functions for mirror symmetry calculations.
- Connected intersection numbers with generating functions.
-  Provided explicit formulas for degree k hypersurfaces.

## Abstract

In this paper, we derive the generalized hypergeometric functions used in mirror computation of degree k hypersurface in CP^{N-1} as generating functions of intersection numbers of the moduli space of quasimaps from CP^{1} with two marked points to CP^{N-1}.

## Full text

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## References

12 references — full list in the complete paper: https://tomesphere.com/paper/2302.12947/full.md

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Source: https://tomesphere.com/paper/2302.12947