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2009 Homotopy groups and twisted homology of arrangements
Richard Randell
Algebr. Geom. Topol. 9(3): 1299-1308 (2009). DOI: 10.2140/agt.2009.9.1299

Abstract

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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Richard Randell. "Homotopy groups and twisted homology of arrangements." Algebr. Geom. Topol. 9 (3) 1299 - 1308, 2009. https://doi.org/10.2140/agt.2009.9.1299

Information

Received: 30 December 2008; Revised: 5 May 2009; Accepted: 6 May 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1173.55003
MathSciNet: MR2520401
Digital Object Identifier: 10.2140/agt.2009.9.1299

Subjects:
Primary: 55N25, 57N65
Secondary: 55Q52

Rights: Copyright © 2009 Mathematical Sciences Publishers

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