The fundamental group for the complement of Cayley's singularities

Meirav Amram; Michael Dettweiler; Michael Friedman; Mina Teicher

The fundamental group for the complement of Cayley's singularities

Meirav Amram^*, Michael Dettweiler, Michael Friedman, Mina Teicher

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Given a singular surface X, one can extract information on it by investigating the fundamental group π₁(X - Sing_X). 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 language	English
Pages (from-to)	469-482
Number of pages	14
Journal	Beitrage zur Algebra und Geometrie
Volume	50
Issue number	2
State	Published - 2009
Externally published	Yes

Keywords

Coverings
Fundamental groups
Mapping class group
Singularities
Surfaces

Cite this

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AU - Dettweiler, Michael

AU - Friedman, Michael

AU - Teicher, Mina

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KW - Coverings

KW - Fundamental groups

KW - Mapping class group

KW - Singularities

KW - Surfaces

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JF - Beitrage zur Algebra und Geometrie

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The fundamental group for the complement of Cayley's singularities

Abstract

Keywords

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