Dynamical \(r\)-matrices for Hitchin's systems on Schottky curves (Q1267804)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamical \(r\)-matrices for Hitchin's systems on Schottky curves |
scientific article |
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Dynamical \(r\)-matrices for Hitchin's systems on Schottky curves (English)
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26 January 2001
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Hitchin's systems are integrable systems defined on the cotangent space to the moduli space of holomorphic \(G\)-bundles on a Riemann surface. The author formulates them on Riemann surfaces of higher genus using the Schottky parameterization. Attached dynamical \(r\)-matrices are constructed. In this context dynamical \(r\)-matrix means that it depends on a (Poisson commutative) set of phase space variables.
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Hitchin's systems
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dynamical \(r\)-matrices
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\(G\)-bundles
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Schottky curves
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Yang-Baxter equations
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