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arXiv:0810.5533 [math.AT]AbstractReferencesReviewsResources

Characterization of Line Arrangement for which the Fundamental Group of the Complement is a Direct Product of Free Groups

Eliyahu Meital, Liberman Eran, Schaps Mary, Teicher Mina

Published 2008-10-30, updated 2009-07-29Version 3

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

Comments: 16 pages
Categories: math.AT, math.GR, math.GT
Subjects: 32S22, 14N30, 52C30
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