Aspects of Calabi-Yau Integrable and Hitchin Systems

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dc.contributor.authorBeck, F.
dc.date.accessioned2025-12-02T09:40:09Z
dc.date.issued2019
dc.description.abstractIn the present notes, we explain the relationship between Calabi-Yau integrable systems and Hitchin systems based on work by Diaconescu-Donagi-Pantev and the author. Besides a review of these integrable systems, we highlight related topics, for example, variations of Hodge structures, cameral curves, and Slodowy slices, along the way.
dc.description.sponsorshipIt is a pleasure to thank Lara Anderson and Laura Schaposnik for the invitation to contribute to the SIGMA Special Issue on Geometry and Physics of Hitchin Systems and to give lectures on the topics of these notes at the ‘Workshop on the Geometry and Physics of Higgs bundles IV’ on March 16-17, 2019. Moreover, I thank Murad Alim, Aswin Balasubramanian, Peter Dalakov, and Martin Vogrin for comments on the first draft of these notes. This work is financially supported by the NSF grant "NSF CAREER Award DMS 1749013", the Simons Center for Geometry and Physics, and the DFG Emmy-Noether grant on "Building blocks of physical theories from the geometry of quantization and BPS states", number AL 1407/2-1.
dc.identifier.citationAspects of Calabi-Yau Integrable and Hitchin Systems / F. Beck // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 42 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.001
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 14H70; 14D07; 14J32
dc.identifier.otherarXiv: 1809.05736
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210074
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleAspects of Calabi-Yau Integrable and Hitchin Systems
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік