Mapping Class Group d'un germe de courbe plane singuli\`ere
Dynamical Systems
2010-04-19 v1 Algebraic Geometry
Geometric Topology
Abstract
We prove that every topological conjugation between two germs of singular holomorphic curves in the complex plane is homotopic to another conjugation which extends homeomorphically to the exceptional divisors of their minimal desingularizations. 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.
Cite
@article{arxiv.1004.2837,
title = {Mapping Class Group d'un germe de courbe plane singuli\`ere},
author = {David Marín and Jean-François Mattei},
journal= {arXiv preprint arXiv:1004.2837},
year = {2010}
}