论文标题
图的分析扭转
Analytic torsion for graphs
论文作者
论文摘要
分析扭转是对只需要定义线性代数的图表的功能。在连续体中，它对应于射线手的分析扭转。如果图形可缩度或是离散的球体，则具有用于分析扭转的公式。一个关键的见解是，分析扭转是该图的DIRAC操作员的超级决定因素。
Analytic torsion is a functional on graphs which only needs linear algebra to be defined. In the continuum it corresponds to the Ray-Singer analytic torsion. We have formulas for analytic torsion if the graph is contractible or if it is a discrete sphere. A key insight is that analytic torsion is the super determinant of the Dirac operator of the graph.
