论文标题
从dehn着色矩阵中构建Goeritz矩阵
Constructing Goeritz matrix from Dehn coloring matrix
论文作者
论文摘要
Goeritz与结图相关联，引入了一个积分矩阵，该基质现在称为Goeritz矩阵。特拉迪（Traldi）表明，用goeritz矩阵的方程式空间（确切地说是在他的纸中称为未还原的goeritz矩阵），因为系数矩阵对结的线性空间是同构的，该线性空间由dehn colorings组成。在本文中，我们从dehn着色矩阵中构造了goeritz矩阵，从中诱导了dehn颜色。此外，如果结图是素数，我们将提供纯代代数结构，从dehn彩色矩阵中goeritz基质。
Associated to a knot diagram, Goeritz introduced an integral matrix, which is now called a Goeritz matrix. It was shown by Traldi that the solution space of the equations with Goeritz matrix (precisely, unreduced Goeritz matrix called in his paper) as a coefficient matrix is isomorphic to the linear space consisting of the Dehn colorings for a knot. In this paper, we give a construction of a Goeritz matrix from a Dehn coloring matrix, from which Dehn colorings are induced. Moreover, if the knot diagram is prime, we give a purely algebraic construction of a Goeritz matrix from a Dehn coloring matrix.
