English

A quantization of the Hitchin hamiltonian system and the Beilinson-Drinfeld isomorphism

Algebraic Geometry 2007-08-23 v1 Quantum Algebra

Abstract

We will study the Hitchin's hamiltonian system for a modular stack of principal SL_2(C) bundle on a smooth projective curve which has a parabolic reduction at certain points. As an application we will obtain a generalization of the Beilinson-Drinfeld isomorphism, which is a quantization of the Hitchin's hamiltonian system.

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Cite

@article{arxiv.0708.2957,
  title  = {A quantization of the Hitchin hamiltonian system and the Beilinson-Drinfeld isomorphism},
  author = {Ken-ichi Sugiyama},
  journal= {arXiv preprint arXiv:0708.2957},
  year   = {2007}
}

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23 pages