Title of article :
Generic section of a hyperplane arrangement and twisted Hurewicz maps
Author/Authors :
Yoshinaga، نويسنده , , Masahiko، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2008
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 nontrivial homotopy groups.
Keywords :
Lefschetz theorem , homotopy groups , Hyperplane arrangements , Local system homology groups , Twisted Hurewicz map
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications