Todor Milanov, Chenghan Zha, “Integral Structure for Simple Singularities”, SIGMA, 2020, Volume 16,081, 28 pp.

This article is cited in 1 paper

Integral Structure for Simple Singularities

Todor Milanov^ab, Chenghan Zha^ba

^a Kavli IPMU (WPI)
^b UTIAS, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan

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

Keywords: simple singularities, period map, mirror symmetry, topological K-theory.

MSC: 14D05, 32S30, 19L47

Received: May 27, 2020; in final form August 9, 2020; Published online August 22, 2020

Language: English

DOI: 10.3842/SIGMA.2020.081