ALGEBRAIC KNOTS ASSOCIATED WITH MILNOR FIBRATIONS

被引:0
|
作者
Dos Santos, Raimundo Araujo
Saeki, Osamu
Souza, Taciana O.
机构
来源
JOURNAL OF SINGULARITIES | 2022年 / 25卷
基金
巴西圣保罗研究基金会;
关键词
Knot; Milnor fibration; topological invariant; knot cobordism; SEIFERT FORM; ISOLATED SINGULARITIES; COBORDISM; POINTS;
D O I
10.5427/jsing.2022.25b
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, after reviewing basic material on Milnor fibrations, we explain topological invariants of algebraic knots associated with isolated singularities of complex hy-persurfaces. These invariants have their origins in knot theory and are very important for the classification of isolated singularities of complex hypersurfaces up to certain topological equiv-alence relations. These relations correspond to isotopy and cobordism of associated knots. We also discuss the existence of non-trivial examples of real Milnor fibrations and the fibered knot conjecture.
引用
收藏
页码:30 / 53
页数:24
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