Gamma integral structure for an invertible polynomial of chain type

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.