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

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

2007-08-22

arxiv.org/abs/0708.2957v1

Mathematics

Algebraic Geometry

23 pages

Scientific paper

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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