论文标题

奇异曲线操作员的符号演算

Symbolic calculus for singular curve operators

论文作者

Paul, Thierry

论文摘要

我们定义了T \'Oplitz量化的概括,适用于t \''oplitz符号的操作员是单数。然后,我们证明拓扑量子场理论(TQFT)中的单数曲线运算符是这种类型的Oplitz运算符的精确概括的T \',我们为其中的某些操作机进行了计算,并猜想了其他类型的Oplitz Operators,其主要符号,由相关的经典痕量函数确定。

We define a generalization of the T\''oplitz quantization, suitable for operators whose T\''oplitz symbols are singular. We then show that singular curve operators in Topological Quantum Fields Theory (TQFT) are precisely generalized T\''oplitz operators of this kind and we compute for some of them, and conjecture for the others, their main symbol, determined by the associated classical trace function.

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