Spectral curves of the hyperelliptic Hitchin systems
From MaRDI portal
Publication:2191809
DOI10.1134/S0016266319040063zbMath1445.14050arXiv1806.10178MaRDI QIDQ2191809
Publication date: 26 June 2020
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.10178
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Special algebraic curves and curves of low genus (14H45) Relationships between algebraic curves and physics (14H81)
Related Items
Hitchin systems on hyperelliptic curves ⋮ Quantization of integrable systems with spectral parameter on a Riemann surface ⋮ Integrable systems of algebraic origin and separation of variables ⋮ Quantization of Lax integrable systems and conformal field theory ⋮ Separation of variables for type Hitchin systems on a hyperelliptic curve
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Lax pairs and spectral curves for Calogero-Moser and spin Calogero-Moser systems
- Commuting families in skew fields and quantization of Beauville's fibration
- Riemann surfaces, separation of variables and classical and quantum integrability
- Integrability and Seiberg-Witten exact solution
- Vector bundles and Lax equations on algebraic curves
- Supersymmetric Yang-Mills theory and integrable systems
- Integrable systems and algebraic surfaces
- Integrable systems of algebraic origin and separation of variables
- Krichever-Novikov type algebras. Theory and applications
- Hitchin systems at low genera
- Lax operator algebras and integrable systems
- Introduction to Classical Integrable Systems
- Galois theory for general systems of polynomial equations
- Hilbert schemes, separated variables, and \(D\)-branes