January, 2025 Period integrals (Givental's I-function) of Calabi–Yau hypersurface in CPN1 as generating functions of intersection numbers on the moduli space of quasimaps
Masao JINZENJI, Kohki MATSUZAKA
Author Affiliations +
J. Math. Soc. Japan Advance Publication 1-34 (January, 2025). DOI: 10.2969/jmsj/90489048

Abstract

In this paper, we derive the generalized hypergeometric functions (period integrals) used in mirror computation of Calabi–Yau hypersurface in CPN1 as generating functions of intersection numbers on the moduli space of quasimaps from CP1 with 2+1 marked points to CPN1.

Funding Statement

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

Citation

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Masao JINZENJI. Kohki MATSUZAKA. "Period integrals (Givental's -function) of Calabi–Yau hypersurface in as generating functions of intersection numbers on the moduli space of quasimaps." J. Math. Soc. Japan Advance Publication 1 - 34, January, 2025. https://doi.org/10.2969/jmsj/90489048

Information

Received: 7 November 2022; Revised: 29 October 2023; Published: January, 2025
First available in Project Euclid: 17 January 2025

Digital Object Identifier: 10.2969/jmsj/90489048

Subjects:
Primary: 14J33
Secondary: 14N35 , 32Q25

Keywords: generalized hypergeometric functions , Givental's -function , moduli space of quasimaps

Rights: Copyright ©2025 Mathematical Society of Japan

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