Abstract:
We give a survey of some recent advances in parabolic Hitchin systems (parabolic Beauville–Narasimhan–Ramanan correspondence, mirror symmetry for parabolic Hitchin systems), and in exact methods of solving the non-parabolic Hitchin systems.
Bibliography: 55 titles.
Keywords:classical and parabolic Hitchin systems, Hitchin map and fibres, mirror symmetry, exact methods.
This work was performed at the Steklov International
Mathematical Center and supported by the Ministry of Science and
Higher Education of the Russian Federation (agreement № 075-15-2022-265).
Received: 14.12.2023
Document Type:
Article
UDC:514.83+514.853+517.957
Language: English
Citation:
O. K. Sheinman, Bin Wang, “Hitchin systems: some recent advances”, Uspekhi Mat. Nauk, 79:4(478) (2024), 131–168