THE RASMUSSEN INVARIANT OF A HOMOGENEOUS KNOT

被引：12

作者：

Abe, Tetsuya ^{[1
]}

机构：

[1] Osaka City Univ, Adv Math Inst, Sumiyoshi Ku, Osaka 5588585, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 07期

关键词：

SLICE-BENNEQUIN INEQUALITY; OZSVATH-SZABO; LINKS; QUASIPOSITIVITY; HOMOLOGY;

D O I：

10.1090/S0002-9939-2010-10687-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A homogeneous knot is a generalization of alternating knots and positive knots. We determine the Rasmussen invariant of a homogeneous knot. This is a new class of knots such that the Rasmussen invariant is explicitly described in terms of its diagrams. As a corollary, we obtain some characterizations of a positive knot. In particular, we recover Baader's theorem which states that a knot is positive if and only if it is homogeneous and strongly quasi positive

引用

页码：2647 / 2656

页数：10

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