A quantization of the Hitchin hamiltonian system and the Beilinson-Drinfeld isomorphism
Abstract
We will study the Hitchin's hamiltonian system for a modular stack of principal SL2(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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