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Symmetry, Integrability and Geometry: Methods and Applications, 2019, Volume 15, 001, 25 pp.
DOI: https://doi.org/10.3842/SIGMA.2019.001 (Mi sigma1437) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Aspects of Calabi–Yau Integrable and Hitchin Systems

Florian Beck

FB Mathematik, Universität Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany
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DOI: https://doi.org/10.3842/SIGMA.2019.001
Abstract: In 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.
Keywords: complex integrable systems; Hitchin systems; variations of Hodge structures; Calabi–Yau threefolds.
Funding agency Grant number
National Science Foundation DMS 1749013
Deutsche Forschungsgemeinschaft AL 1407/2-1
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.
Received: September 25, 2018; in final form December 19, 2018; Published online January 1, 2019
Bibliographic databases:
Document Type: Article
MSC: 14H70; 14D07; 14J32
Language: English
Citation: Florian Beck, “Aspects of Calabi–Yau Integrable and Hitchin Systems”, SIGMA, 15 (2019), 001, 25 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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