Separation of Variables for Hitchin Systems with the Structure Group \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{SO}(4)$$\end{document} on Genus \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2$$\end{document} Curves

被引:0
作者
O. K. Sheinman [1 ]
机构
[1] Steklov Mathematical Institute of Russian Academy of Sciences,
关键词
Hitchin systems; exact solutions; structure group ; Jacobi inversion problem; 37J38;
D O I
10.1134/S0081543824020172
中图分类号
学科分类号
摘要
引用
收藏
页码:292 / 303
页数:11
相关论文
共 19 条
  • [1] Babelon O.(2003)Riemann surfaces, separation of variables and classical and quantum integrability Phys. Lett. A 312 71-77
  • [2] Talon M.(2021)Separation of variables for type Russ. Math. Surv. 76 363-365
  • [3] Borisova P. I.(2020) Hitchin systems on a hyperelliptic curve Proc. Steklov Inst. Math. 311 22-35
  • [4] Borisova P. I.(1981)Hitchin systems on hyperelliptic curves Russ. Math. Surv. 36 11-92
  • [5] Sheinman O. K.(2000)Theta functions and non-linear equations J. Math. Phys. 41 4695-4712
  • [6] Dubrovin B. A.(1996)Hitchin systems at low genera Duke Math. J. 85 659-683
  • [7] Gawȩdzki K.(2001)On the Hitchin system Commun. Math. Phys. 222 299-318
  • [8] Tran-Ngoc-Bich P.(1987)Hilbert schemes, separated variables, and Duke Math. J. 54 91-114
  • [9] Geemen B. van(2002)-branes Commun. Math. Phys. 229 229-269
  • [10] Previato E.(2018)Stable bundles and integrable systems Funct. Anal. Appl. 52 316-320