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

SIGMA 15 (2019), 001, 25 pages      arXiv:1809.05736      https://doi.org/10.3842/SIGMA.2019.001
Contribution to the Special Issue on Geometry and Physics of Hitchin Systems

Aspects of Calabi-Yau Integrable and Hitchin Systems

Florian Beck
FB Mathematik, Universität Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany

Received September 25, 2018, in final form December 19, 2018; Published online January 01, 2019

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.

Key words: complex integrable systems; Hitchin systems; variations of Hodge structures; Calabi-Yau threefolds.

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