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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

Uspekhi Mat. Nauk, 2024 Volume 79, Issue 4(478), Pages 131–168 (Mi rm10163)

This article is cited in 1 paper

Hitchin systems: some recent advances

O. K. Sheinman, B. Wang

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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 non-parabolic Hitchin systems.
Bibliography: 55 titles.

Keywords: classical and parabolic Hitchin systems, Hitchin map and fibres, mirror symmetry, exact methods.

UDC: 514.83+514.853+517.957

MSC: 14D21, 14J33, 37J38

Received: 14.12.2023

Language: English

DOI: 10.4213/rm10163


 English version:
Russian Mathematical Surveys, 2024, 79:4, 683–720

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© Steklov Math. Inst. of RAS, 2025