Homotopy groups and twisted homology of arrangements

Details Homotopy groups and twisted homology of arrangements Homotopy groups and twisted homology of arrangements

2008-11-10

arxiv.org/abs/0811.1531v2

Mathematics

Geometric Topology

Revised version, to appear in Algebraic & Geometric Topology

Scientific paper

Recent work of M. Yoshinaga shows that in some instances certain higher
homotopy groups of arrangements map onto non-resonant 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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