AI 中文总结
本文利用拓扑图构造量子实射影空间的量子CW复形,并引入多拉回偶球面作为非交换柱体的边界,证明其可类似经典情形进行粘合。
AI 中文摘要
我们利用拓扑图的概念和性质来构造量子实射影空间的量子CW复形。这一构造与经典情形中的CW复形构造相呼应。此外,我们引入多拉回偶球面作为非交换“柱体”的边界,并证明它们允许一种类似于将球粘合到空心封闭圆柱两端的粘合操作。
英文摘要
We use the notion and properties of topological graphs to construct a quantum CW complex for quantum real projective spaces. This construction mirrors the CW complex construction in the classical case. Moreover, we introduce multipullback even-spheres as boundaries of noncommutative "cylinders" and show that they admit a gluing akin to the gluing of balls to the ends of a hollow closed cylinder.