A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams

被引：0

作者：

Ishii, Ippei ^{[1
]}

Nakamura, Takuji ^{[2
]}

Saito, Toshio ^{[3
]}

机构：

[1] Keio Univ, Fac Sci & Technol, Dept Math, 3-14-1 Hiyoshi, Kohoku, Yokohama 2238522, Japan

[2] Univ Yamanashi, Fac Educ, 4-4-37 Takeda, Kofu, Yamanashi 4008510, Japan

[3] Joetsu Univ Educ, Dept Math, 1 Yamayashiki, Joetsu 9438512, Japan

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2024年 / 76卷 / 03期

关键词：

Coloring invariant; 3-manifold; flow-spine; virtual knot diagram;

D O I：

10.4153/S0008414X23000299

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a closed, connected, and oriented 3-manifold with a non-singular flow, we construct its virtual knot diagram via a "flow-spine" of the manifold. Then, we introduce a coloring invariant of 3-manifolds through their virtual knot diagrams, and classify some 3-manifolds by using the invariant.

引用

页码：984 / 1004

页数：21

共 15 条

[1] Positive flow-spines and contact 3-manifolds
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