Aspects of Calabi-Yau Integrable and Hitchin Systems
Florian Beck
TL;DR
This paper explores the connections between Calabi-Yau integrable systems and Hitchin systems, reviewing their structures and related topics like Hodge variations, cameral curves, and Slodowy slices.
Contribution
It clarifies the relationship between Calabi-Yau and Hitchin integrable systems, incorporating recent work and related geometric topics.
Findings
Established links between Calabi-Yau and Hitchin systems
Reviewed variations of Hodge structures and cameral curves
Discussed the role of Slodowy slices in integrable systems
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.
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