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      Vector bundles and Lax equations on algebraic curves

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          Abstract

          The Hamiltonian theory of zero-curvature equations with spectral parameter on an arbitrary compact Riemann surface is constructed. It is shown that the equations can be seen as commuting flows of an infinite-dimensional field generalization of the Hitchin system. The field analog of the elliptic Calogero-Moser system is proposed. An explicit parameterization of Hitchin system based on the Tyurin parameters for stable holomorphic vector bundles on algebraic curves is obtained.

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          Author and article information

          Journal
          15 August 2001
          Article
          10.1007/s002200200659
          hep-th/0108110
          Custom metadata
          Commun.Math.Phys. 229 (2002) 229-269
          Latex, 42pages
          hep-th math.AG

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