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arXiv · 2101.11373

Gamma integral structure for an invertible polynomial of chain type

Takumi Otani·Atsushi Takahashi
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Abstract

The notion of the Gamma integral structure for the quantum cohomology of an algebraic variety was introduced by Iritani, Katzarkov-Kontsevich-Pantev. In this paper, we define the Gamma integral structure for an invertible polynomial of chain type. Based on the $\Gamma$-conjecture by Iritani, we prove that the Gamma integral structure is identified with the natural integral structure for the Berglund-H\"{u}bsch transposed polynomial by the mirror isomorphism.

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Takumi Otani, Atsushi Takahashi. 2021-01-27. Gamma integral structure for an invertible polynomial of chain type. https://arxiv.org/abs/2101.11373

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