论文标题
2复合物的曲率不变性的理性定理
Rationality theorems for curvature invariants of 2-complexes
论文作者
论文摘要
令$ x $为有限的二维细胞综合体。 [13]中定义了曲率不变性$ρ_\ pm（x）$和$σ_\ pm（x）$，并概述了一个猜想程序。在这里，我们证明了基本结果，即$ρ_\ pm（x）$和$σ_\ pm（x）$是明确的有理线性编程问题的极端。结果，它们是理性的，实现的，可以通过算法计算。
Let $X$ be a finite, 2-dimensional cell complex. The curvature invariants $ρ_\pm(X)$ and $σ_\pm(X)$ were defined in [13], and a programme of conjectures was outlined. Here, we prove the foundational result that the quantities $ρ_\pm(X)$ and $σ_\pm(X)$ are the extrema of explicit rational linear-programming problems. As a result they are rational, realised, and can be computed algorithmically.
