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Abstract
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Recent work of M Yoshinaga [Topology Appl. 155 (2008) 1022-1026] shows that
in some instances certain higher homotopy groups of arrangements map
onto nonresonant homology. This is in contrast to the usual Hurewicz map
to untwisted homology, which is always the zero homomorphism in degree
greater than one. In this work we examine this dichotomy, generalizing both
results.
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Keywords
hyperplane arrangement, local system, twisted homology
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Mathematical Subject Classification 2000
Primary: 55N25, 57N65
Secondary: 55Q52
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Publication
Received: 30 December 2008
Revised: 5 May 2009
Accepted: 6 May 2009
Published: 1 July 2009
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