The lower central series of a fiber-type arrangement

Michael Falk; Richard Randell

doi:10.1007/BF01394780

The lower central series of a fiber-type arrangement

Michael Falk, Richard Randell

Mathematics and Statistics

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Abstract

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 A_l. We also show that the formula does not hold for all K(π, 1) arrangements.

Original language	English (US)
Pages (from-to)	77-88
Number of pages	12
Journal	Inventiones Mathematicae
Volume	82
Issue number	1
DOIs	https://doi.org/10.1007/BF01394780
State	Published - Feb 1985

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General Mathematics

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The lower central series of a fiber-type arrangement

Abstract

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