ON HOMOLOGY 3-SPHERES DEFINED BY TWO KNOTS

被引：0

作者：

Tsuchiya, Masatsuna ^{[1
]}

机构：

[1] Gakushuin Univ, Dept Math, Toshima Ku, Tokyo 1718588, Japan

来源：

OSAKA JOURNAL OF MATHEMATICS | 2015年 / 52卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if each of K-1 and K-2 is a trefoil knot or a figure eight knot, the homology 3-sphere defined by the Kirby diagram which is a simple link of K-1 and K-2 with framing (0, n) is represented by an n-twisted Whitehead double of K-2.

引用

页码：993 / 1015

页数：23

共 10 条

[1] A note on a homology sphere
Akbulut, S
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (02) : 625 - 628
[2] Akbulut S., 1990, MATH NOTES, V36
[3] [Anonymous], 2002, ENCY MATH SCI
[4] Gordon C.McA., 1975, TOPOLOGY, V14, P151
[5] Knot Floer homology of Whitehead doubles
Hedden, Matthew
[J]. GEOMETRY & TOPOLOGY, 2007, 11 : 2277 - 2338
[6] Kirby R., 1978, Algebraic and geometric topology, P273
[7] Maruyama N., 1984, J TSUDA COLL, V16, P1
[8] MATSUMOTO Y, 1982, J FAC SCI U TOKYO IA, V29, P287
[9] Rolfsen D., 2003, AM MATH SOC
[10] Tange M., HEEGAARD FLOER HOMOL

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