The lower central series of a fiber-type arrangement

Michael Falk, Richard Randell

Research output: Contribution to journalArticlepeer-review

119 Scopus citations


For a certain class ("fiber-type") of arrangements, including the supersolvable ones of Jambu and Terao [3], we prove a formula relating the Poincaré polynomial of the complement with the ranks of successive quotients in the lower central series of the fundamental group. Such a formula was proved by Kohno [5] for the single family of examples Al. We also show that the formula does not hold for all K(π, 1) arrangements.

Original languageEnglish (US)
Pages (from-to)77-88
Number of pages12
JournalInventiones Mathematicae
Issue number1
StatePublished - Feb 1985

ASJC Scopus subject areas

  • General Mathematics


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