Mapping class group of a plane curve germ

David Marín, Jean François Mattei

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

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. © 2011 Elsevier B.V.
Original languageEnglish
Pages (from-to)1271-1295
JournalTopology and its Applications
Volume158
DOIs
Publication statusPublished - 1 Jul 2011

Keywords

  • Mapping class group
  • Plane curve singularities

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