CUTTING ARCS FOR TORUS LINKS AND TREES

被引：2

作者：

Misev, Filip ^{[1
]}

机构：

[1] Univ Bern, Sidlerstr 5, CH-3012 Bern, Switzerland

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2017年 / 145卷 / 03期

关键词：

Fibred knots and links; fibre surfaces; monodromy; cutting arcs; Hopf plumbing; singularities; Coxeter-Dynkin trees; SURFACES; DIFFEOMORPHISMS;

D O I：

10.24033/bsmf.2747

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Among all torus links, we characterise those arising as links of simple plane curve singularities by the property that their fibre surfaces admit only a finite number of cutting arcs that preserve fibredness. The same property allows a characterisation of Coxeter-Dynkin trees (i.e., A(n), D-n, E-6, E-7 and E-8) among all positive tree-like Hopf plumbings.

引用

页码：575 / 602

页数：28

共 10 条

[1]

A'Campo N, 1998, PUBL MATH, P171

[2] EIGENVALUES OF COXETER TRANSFORMATION [J].