Article ID Journal Published Year Pages File Type
4659225 Topology and its Applications 2011 25 Pages PDF
Abstract

We prove that every topological conjugacy between two germs of singular holomorphic curves in the complex plane is homotopic to another conjugacy which extends homeomorphically to the exceptional divisors of their minimal desingularisations. As an application we give an explicit presentation of a finite index subgroup of the mapping class group of the germ of such a singularity.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology