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. © 2011 Elsevier B.V.
|Journal||Topology and its Applications|
|Publication status||Published - 1 Jul 2011|
- Mapping class group
- Plane curve singularities