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

引用

页码：5501 / 5527

页数：27

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