Vector Bundles and Lax Equations on Algebraic Curves

By I. Krichever. 2001

168 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/96c79b4f8cf5718d23b637a97aed243f17971357

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. J. Teschner

In Geometry and Topology

1. J. Teschner
2. Y. Nakayama
3. D. Gaiotto
4. H. Verlinde
5. S. Ribault
6. Yuji Tachikawa
7. L. Alday
8. John McGreevy

In Statistical and Nonlinear Physics

1. J. Teschner
2. Y. Nakayama
3. D. Gaiotto
4. Yuji Tachikawa
5. L. Alday
6. S. Ribault

Citations in the corpus

• Quantization of the Hitchin moduli spaces, Liouville theory, and the geometric Langlands correspondence I (2010, background): “The SOV for g > 0 was discussed in [31, 44].”