Commuting families in skew fields and quantization of Beauville's fibration

DOI10.1215/S0012-7094-03-11921-3zbMath1052.53065arXivmath/0112276OpenAlexW1992470443MaRDI QIDQ1431022

Vladimir Rubtsov, Benjamin Enriquez

Publication date: 27 May 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112276

zbMATH Keywords

quantizationBeauville's fibrationcommuting families in skew fields

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Surfaces and higher-dimensional varieties (14J99) Geometric quantization (53D50) Skew fields, division rings (12E15)

Related Items

Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves, Algebraic properties of Manin matrices. I, Continuum limit of the Volterra model, separation of variables and non-standard realizations of the Virasoro Poisson bracket, Spectral curves of the hyperelliptic Hitchin systems, Hitchin and Beauville-Mukai system: classical and quantum correspondence, Factorization and resultants of partial differential operators, Jacobi inversion on strata of the Jacobian of the \(C_{rs}\) curve \(y^r = f(x)\), Integrable systems of algebraic origin and separation of variables, On the Bethe ansatz for the Jaynes–Cummings–Gaudin model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable bundles and integrable systems
• Separation of variables in the Gaudin model
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Solvability of a linear operator system
• Poisson structures on Hilbert schemes of points of a surface and integrable systems
• Discrete quantum Drinfeld-Sokolov correspondence
• Quantization of canonical cones of algebraic curves.
• Noncommutative geometry based on commutator expansions
• Hilbert schemes, separated variables, and \(D\)-branes