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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 \(CP^{N-1}\) - MaRDI portal

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 \(CP^{N-1}\) (Q6566448)

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scientific article; zbMATH DE number 7875492
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English
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 \(CP^{N-1}\)
scientific article; zbMATH DE number 7875492

    Statements

    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 \(CP^{N-1}\) (English)
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    3 July 2024
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    The authors give two theorems which are extensions of their former results that realize generalized hypergeometric series used in mirror computation of genus 0 Gromov-Witten invariants of Calabi-Yau hypersurfaces in \(\mathbb{CP}^{N-1}\) as a generating function of a certain intersection number of \(\tilde{\mathcal{M}}_{\mathbf{P}_{0,2}}(N,d)\), to the case of degree \(k\) hypersurfaces in \(\mathbb{CP}^{N-1}\).
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    generalized hypergeometric series
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    Givental's \(I\)-function
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    intersection number
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    moduli space of quasimaps
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