Generic section of a hyperplane arrangement and twisted Hurewicz maps

Details Generic section of a hyperplane arrangement and twisted Hurewicz maps Generic section of a hyperplane arrangement and twisted Hurewicz maps

2006-05-24

arxiv.org/abs/math/0605643v2

Mathematics

Geometric Topology

v.2: title changed, 9 pages

Scientific paper

We consider a twisted version of the Hurewicz map on the complement of a
hyperplane arrangement. The purpose of this paper is to prove surjectivity of
the twisted Hurewicz map under some genericity conditions. As a corollary, we
also prove that a generic section of the complement of a hyperplane arrangement
has non-trivial homotopy groups.

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