Hitchin systems on hyperelliptic curves
DOI10.1134/S0081543820060036zbMath1471.37059arXiv1912.06849OpenAlexW3127423310MaRDI QIDQ2227082
P. I. Borisova, Oleg K. Sheinman
Publication date: 9 February 2021
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.06849
Relationships between algebraic curves and integrable systems (14H70) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)
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Cites Work
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- Hierarchies of finite-dimensional Lax equations with a spectral parameter on a Riemann surface and semisimple Lie algebras
- Current algebras on Riemann surfaces. New results and applications.
- Stable bundles and integrable systems
- On the Hitchin system
- Certain reductions of Hitchin systems of rank 2 and genera 2 and 3
- Lax operator algebras
- Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann
- Riemann surfaces, separation of variables and classical and quantum integrability
- Theta functions on Riemann surfaces
- Vector bundles and Lax equations on algebraic curves
- Supersymmetric Yang-Mills theory and integrable systems
- Integrable systems and algebraic surfaces
- Spectral curves of the hyperelliptic Hitchin systems
- Integrable systems of algebraic origin and separation of variables
- Hitchin systems at low genera
- Lax operator algebras and integrable systems
- PRYM VARIETIES: THEORY AND APPLICATIONS
- Hilbert schemes, separated variables, and \(D\)-branes
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