量子透镜空间的组合分类
Combinatorial classification of quantum lens spaces
摘要：
我们回答的问题是，一个量子透镜空间的尺寸必须有多大，相比的主要参数$r$，同构类依赖于次要参数。由于C* 代数理论中的分类结果将这个问题归结为一个关于一种特殊形式的整数矩阵的某种$SL$ -等价的问题，我们的方法完全是组合的，并且基于Hong和Szymaiski描述量子透镜空间的图中的某些路径的计数。
英文摘要：
We answer the question of how large the dimension of a quantum lens space must be, compared to the primary parameter $r$, for the isomorphism class to depend on the secondary parameters. Since classification results in C*-algebra theory reduces this question to one concerning a certain kind of $SL$-equivalence of integer matrices of a special form, our approach is entirely combinatorial and based on the counting of certain paths in the graphs shown by Hong and Szymański to describe the quantum lens spaces.
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