Period integrals (Givental's 𝐼-function) of Calabi–Yau hypersurface in 𝐶𝑃𝑁−1 as generating functions of intersection numbers on the moduli space of quasimaps

Masao Jinzenji; Kohki Matsuzaka

doi:10.2969/jmsj/90489048

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Period integrals (Givental's 𝐼-function) of Calabi–Yau hypersurface in 𝐶𝑃^𝑁−1 as generating functions of intersection numbers on the moduli space of quasimaps

Masao Jinzenji, Kohki Matsuzaka

著者情報

キーワード: Givental's 𝐼-function, generalized hypergeometric functions, moduli space of quasimaps

ジャーナル認証あり

2025 年 77 巻 2 号 p. 449-482

DOI https://doi.org/10.2969/jmsj/90489048

詳細

抄録

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