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<p>In this work, the description of the moduli space of principal <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(G\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>G</mi> </math></EquationSource> </InlineEquation>-bundles as double quotient of loop groups is used to construct an étale local <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(r\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>r</mi> </math></EquationSource> </InlineEquation>-matrix for the Hitchin integrable system.</p>

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The r-Matrix Structure of Hitchin Systems via Loop Group Uniformization

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年8月8日

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  • Raschid Abedin

摘要

In this work, the description of the moduli space of principal \(G\) G -bundles as double quotient of loop groups is used to construct an étale local \(r\) r -matrix for the Hitchin integrable system.