Generic section of a hyperplane arrangement and twisted Hurewicz maps

Masahiko Yoshinaga

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Generic section of a hyperplane arrangement and twisted Hurewicz maps

Masahiko Yoshinaga

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Abstract

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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Masahiko Yoshinaga. 2007-10-26. Generic section of a hyperplane arrangement and twisted Hurewicz maps. https://arxiv.org/abs/math/0605643

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