The characterization of a line arrangement whose fundamental group of the complement is a direct sum of free groups

Meital Eliyahu, Eran Liberman, Malka Schaps, Mina Teicher

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Kwai Man Fan proved that if the intersection lattice of a line arrangement does not contain a cycle, then the fundamental group of its complement is a direct sum of infinite and cyclic free groups. He also conjectured that the converse is true as well. The main purpose of this paper is to prove this conjecture.

Original languageEnglish
Pages (from-to)1285-1304
Number of pages20
JournalAlgebraic and Geometric Topology
Volume10
Issue number3
DOIs
StatePublished - 2010

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