June 2024 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 $CP^{N-1}$
Masao Jinzenji, Kohki Matsuzaka
Author Affiliations +
Kodai Math. J. 47(2): 162-177 (June 2024). DOI: 10.2996/kmj47203

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 $CP^{N-1}$.

Funding Statement

Our research is partially supported by JSPS grant No. 22K03289.

Acknowledgment

We would like to thank Prof. G. Ishikawa and Prof. A. Tsuchida for kind encouragement.

Citation

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Masao Jinzenji. Kohki Matsuzaka. "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 $CP^{N-1}$." Kodai Math. J. 47 (2) 162 - 177, June 2024. https://doi.org/10.2996/kmj47203

Information

Received: 8 March 2023; Revised: 10 July 2023; Published: June 2024
First available in Project Euclid: 27 June 2024

Digital Object Identifier: 10.2996/kmj47203

Subjects:
Primary: 14J33
Secondary: 14N35 , 32G13

Keywords: generalized hypergeometric series , Givental's $I$-function , intersection number , moduli space of quasimaps

Rights: Copyright © 2024 Tokyo Institute of Technology, Department of Mathematics

Vol.47 • No. 2 • June 2024
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