Vector bundles and lax equations on algebraic curves

I. Krichever

Research output: Contribution to journalArticlepeer-review

65 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)229-269
Number of pages41
JournalCommunications in Mathematical Physics
Volume229
Issue number2
DOIs
Publication statusPublished - Aug 2002

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