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arXiv math/0105089math.QAmath.SG
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辛流形上星积的迹

Traces for star products on symplectic manifolds

Simone Gutt, John Rawnsley

摘要:

给出了辛流形上任意星积迹存在性的一个直接初等证明。我们遵循我们在\cite{refs:GuttRaw}中使用的方法,首先解决局部问题。Karabegov \cite{refs:Karabegov}引入的规范化使得局部解决方案是唯一的,并允许将它们拼凑在一起以解决全局问题。

英文摘要:

We give a direct elementary proof of the existence of traces for arbitrary star products on a symplectic manifold. We follow the approach we used in \cite{refs:GuttRaw}, solving first the local problem. A normalisation introduced by Karabegov \cite{refs:Karabegov} makes the local solutions unique and allows them to be pieced together to solve the global problem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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