Additivity of handle number and Morse-Novikov number of a-small knots

被引：3

作者：

Manjarrez-Gutierrez, Fabiola ^{[1
]}

机构：

[1] Ctr Invest Matemat, Guanajuato, Mexico

来源：

TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 01期

关键词：

Circular thin position; Handle number; Morse-Novikov number; Heegaard splittings;

D O I：

10.1016/j.topol.2012.10.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A knot is an a-small knot if its exterior does not contain closed incompressible surfaces disjoint from some incompressible Seifert surface for the knot. Using circular thin position for knots we prove that the handle number is additive under the connected sum of two a-small knots. As a consequence the Morse-Novikov number turns out to be additive under the connected sum of two a-small knots. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：117 / 125

页数：9

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