摘要翻译:
我们将研究光滑射影曲线上主SL_2(C)丛的模叠加的Hitchin哈密顿系统,它在某些点有抛物线约简。作为应用,我们将得到Beilinson-Drinfeld同构的推广,它是Hitchin哈密顿系统的量子化。
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英文标题:
《A quantization of the Hitchin hamiltonian system and the
Beilinson-Drinfeld isomorphism》
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作者:
Ken-ichi Sugiyama
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Quantum Algebra 量子代数
分类描述:Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory
量子群,skein理论,运算代数和图解代数,量子场论
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英文摘要:
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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PDF链接:
https://arxiv.org/pdf/0708.2957