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-Hübsch transposed polynomial by the mirror isomorphism.

48pages, 8 figures

References in corpus (2)

• Spaces of stability conditions
• Extended canonical algebras and Fuchsian singularities