辛流形上星积的迹
Traces for star products on symplectic manifolds
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.
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