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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 081, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.081 (Mi sigma1618) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Integral Structure for Simple Singularities

Todor Milanovab, Chenghan Zhaba

a Kavli IPMU (WPI)
b UTIAS, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan
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DOI: https://doi.org/10.3842/SIGMA.2020.081
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.
Funding agency Grant number
Japan Society for the Promotion of Science 17K05193
DC1 program
Ministry of Education, Culture, Sports, Science and Technology, Japan
The work of T.M. is partially supported by JSPS Grant-in-Aid (Kiban C) 17K05193 and by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan. The work of C.Z. is supported by JSPS DC1 program including Grant-in-Aid and was previously supported by MEXT scholarship.
Received: May 27, 2020; in final form August 9, 2020; Published online August 22, 2020
Bibliographic databases:
Document Type: Article
MSC: 14D05, 32S30, 19L47
Language: English
Citation: Todor Milanov, Chenghan Zha, “Integral Structure for Simple Singularities”, SIGMA, 16 (2020), 081, 28 pp.
Citation in format AMSBIB
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