Diagrammatic Computations for Quandles and Cocycle Knot Invariants
Diagrammatic Computations for Quandles and Cocycle Knot Invariants
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Quandles 和 Cocycle Knot 不变量的图解计算
DOI：
10.1090/conm/318/05544
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
M. Saito
中科院分区：
文献类型：
--
作者：
J. Carter;S. Kamada;M. Saito
状态和不变量的纽结和纽结表面定义的quandle上循环之间的克罗内克产品所表示的彩色纽结图和一个有限quandle的上循环用于着色图描述。这种解释适用于评估的不变量。
代数解释quandle上循环作为变形的扩张。证明依赖于彩色纽结图。
The state-sum invariants for knots and knotted surfaces defined from quandle cocycles are described using the Kronecker product between cycles represented by colored knot diagrams and a cocycle of a finite quandle used to color the diagram. Such an interpretation is applied to evaluating the invariants.
Algebraic interpretations of quandle cocycles as deformations of extensions are also given. The proofs rely on colored knot diagrams.