English

Gamma integral structure for an invertible polynomial of chain type

Algebraic Geometry 2021-01-28 v1

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 Γ\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.

Keywords

Cite

@article{arxiv.2101.11373,
  title  = {Gamma integral structure for an invertible polynomial of chain type},
  author = {Takumi Otani and Atsushi Takahashi},
  journal= {arXiv preprint arXiv:2101.11373},
  year   = {2021}
}

Comments

48pages, 8 figures