Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 16 (2020), 081, 28 pages      arXiv:2003.12820      https://doi.org/10.3842/SIGMA.2020.081
Contribution to the Special Issue on Primitive Forms and Related Topics in honor of Kyoji Saito for his 77th birthday

Integral Structure for Simple Singularities

Todor Milanov and Chenghan Zha
Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan

Received May 27, 2020, in final form August 09, 2020; Published online August 22, 2020

Abstract
We compute the image of the Milnor lattice of an ADE singularity under a period map. We also prove that the Milnor latticecan be identified with an appropriate relative $K$-group defined through the Berglund-Hübsch dual of the corresponding singularity.

Key words: simple singularities; period map; mirror symmetry; topological K-theory.

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