A G-FAMILY OF QUANDLES AND HANDLEBODY-KNOTS

被引：45

作者：

Ishii, Atsushi ^{[1
]}

Iwakiri, Masahide ^{[2
]}

Jang, Yeonhee ^{[3
]}

Oshiro, Kanako ^{[4
]}

机构：

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

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

[3] Nara Womens Univ, Dept Math, Nara 6308506, Japan

[4] Sophia Univ, Dept Informat & Commun Sci, Chiyoda Ku, Tokyo 1028554, Japan

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2013年 / 57卷 / 03期

关键词：

COCYCLE INVARIANTS; HOMOLOGY GROUPS;

D O I：

10.1215/ijm/1415023512

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of a G-family of quandles which is an algebraic system whose axioms are motivated by handlebody-knot theory, and use it to construct invariants for handlebody-knots. Our invariant can detect the chiralities of some handlebody-knots including unknown ones.

引用

收藏

页码：817 / 838

页数：22

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