THE GROWTH RATE OF THE TUNNEL NUMBER OF m-SMALL KNOTS

被引：0
|
作者：
Kobayashi, Tsuyoshi [1 ]
Rieck, Yo'av [2 ]
机构：
[1] Nara Womens Univ, Dept Math, Kitauoyanishi, Nara 6308506, Japan
[2] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2018年 / 295卷 / 01期
关键词：
knots; 3-manifolds; Heegaard splittings; tunnel number; growth rate; IRREDUCIBLE HEEGAARD-SPLITTINGS; MORIMOTOS CONJECTURE; LOCAL DETECTION; CONNECTED SUM; MANIFOLDS; EXTERIORS; PRIME; GENUS;
D O I：
10.2140/pjm.2018.295.57
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a previous paper, we defined the growth rate of the tunnel number of knots, an invariant that measures the asymptotic behavior of the tunnel number under connected sum. In this paper we calculate the growth rate of the tunnel number of m-small knots in terms of their bridge indices.
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页码：57 / 102
页数：46
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