Generic section of a hyperplane arrangement and twisted Hurewicz maps
Geometric Topology
2011-11-09 v2 Combinatorics
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.
Cite
@article{arxiv.math/0605643,
title = {Generic section of a hyperplane arrangement and twisted Hurewicz maps},
author = {Masahiko Yoshinaga},
journal= {arXiv preprint arXiv:math/0605643},
year = {2011}
}
Comments
v.2: title changed, 9 pages