GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
复制标题
QUANDLE 同调的几何解释
DOI：
--
复制
发表时间：
2000
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
本文用彩色结图的形式给出了量子同调理论中圈的几何表示。抽象结图被推广为具有例外点的图，当这些点上色时，对应于简并环。实现了边界链，并利用边界链求出了对应环的等价移动。应用这些方法证明了同调精确序列的边界同态消失。
Geometric representations of cycles in quandle homology theory are given in terms of colored knot diagrams. Abstract knot diagrams are generalized to diagrams with exceptional points which, when colored, correspond to degenerate cycles. Bounding chains are realized, and used to obtain equivalence moves for homologous cycles. The methods are applied to prove that boundary homomorphisms in a homology exact sequence vanish.