HOMOLOGY GROUPS OF SYMMETRIC QUANDLES AND COCYCLE INVARIANTS OF LINKS AND SURFACE-LINKS

被引：22
|
作者：
Kamada, Seiichi [1 ]
Oshiro, Kanako [1 ]
机构：
[1] Hiroshima Univ, Dept Math, Hiroshima 7398526, Japan
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 362卷 / 10期
关键词：
Knot; link; surface-link; knotted surface; quandle; rack; quandle homology; symmetric quandle; good involution; BETTI NUMBERS; KNOTS; POINT; COHOMOLOGY; RACKS;
D O I：
10.1090/S0002-9947-2010-05131-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We Introduce the notion of a quandle with a good involution and its homology groups Cartel et al defined quandle cocycle invariants for oriented links and oriented surface-links By use of good involutions, quandle cocyle invariants can be defined for links and surface-links which are not necessarily oriented or mutable The invariants can be used in order to estimate the minimal triple point numbers of non-orientable surface-links
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页码：5501 / 5527
页数：27
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