Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659225 | Topology and its Applications | 2011 | 25 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Geometry and Topology