The fundamental group for the complement of Cayley's singularities

Meirav Amram, Michael Dettweiler, Michael Friedman, Mina Teicher

Research output: Contribution to journalArticlepeer-review

Abstract

Given a singular surface X, one can extract information on it by investigating the fundamental group π1(X - SingX). However, calculation of this group is non-trivial, but it can be simplified if a certain invariant of the branch curve of X -called the braid monodromy factorization -is known. This paper shows, taking the Cayley cubic as an example, how this fundamental group can be computed by using braid monodromy techniques ([18]) and their liftings. This is one of the first examples that uses these techniques to calculate this sort of fundamental group.

Original languageEnglish
Pages (from-to)469-482
Number of pages14
JournalBeitrage zur Algebra und Geometrie
Volume50
Issue number2
StatePublished - 2009
Externally publishedYes

Keywords

  • Coverings
  • Fundamental groups
  • Mapping class group
  • Singularities
  • Surfaces

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