摘要翻译:
设X是特征为0的域上的光滑代数簇。我们引入了结构束O_x的扭曲结合(即泊松)变形的概念。这些是通常变形的堆栈式版本。证明了从扭曲泊松变形到扭曲结合变形存在一个扭曲量子化映射,该映射在等价类上是正则的和双射的。
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英文标题:
《Twisted Deformation Quantization of Algebraic Varieties (Survey)》
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作者:
Amnon Yekutieli
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最新提交年份:
2011
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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:
Let X be a smooth algebraic variety over a field of characteristic 0. We introduce the notion of twisted associative (resp. Poisson) deformation of the structure sheaf O_X. These are stack-like versions of usual deformations. We prove that there is a twisted quantization map from twisted Poisson deformations to twisted associative deformations, which is canonical and bijective on equivalence classes.
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PDF链接:
https://arxiv.org/pdf/0801.3233