Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies

被引：19

作者：

Ishii, Atsushi ^{[1
]}

Iwakiri, Masahide ^{[2
]}

机构：

[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058571, Japan

[2] Saga Univ, Grad Sch Sci & Engn, Saga 8408502, Japan

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2012年 / 64卷 / 01期

关键词：

quandle cocycle invariant; knotted handlebody; spatial graph; ALEXANDER QUANDLES; SURFACE LINKS; COHOMOLOGY;

D O I：

10.4153/CJM-2011-035-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a flow of a spatial graph and see how invariants for spatial graphs and handle-body-links are derived from those for flowed spatial graphs. We define a new quandle (co)homology by introducing a subcomplex of the rack chain complex. Then we define quandle colorings and quandle cocycle invariants for spatial graphs and handlebody-links.

引用

页码：102 / 122

页数：21

共 17 条

[1] Quandle cohomology and state-sum invariants of knotted curves and surfaces [J].