论文标题
一个扰动的亚历山大不变
A Perturbed-Alexander Invariant
论文作者
论文摘要
在本说明中，我们提供简洁的公式，这导致了一个简单快速的计算机程序，该程序计算出强大的结。这个不变的$ρ_1$并不是什么新鲜事物，但我们的公式是迄今为止最简单和最快的：给定一个结，我们写了一个标准的矩阵$ a $，其决定符为其是其Alexander polyenorial的，但是我们并没有计算确定性，我们考虑了$ a^{ - 1} $的条目中的某些Quadratic表达式。我们公式与亚历山大多项式的距离表明它们应该具有拓扑解释。我们还没有。
In this note we give concise formulas, which lead to a simple and fast computer program that computes a powerful knot invariant. This invariant $ρ_1$ is not new, yet our formulas are by far the simplest and fastest: given a knot we write one of the standard matrices $A$ whose determinant is its Alexander polynomial, yet instead of computing the determinant we consider a certain quadratic expression in the entries of $A^{-1}$. The proximity of our formulas to the Alexander polynomial suggest that they should have a topological explanation. This we don't have yet.
