A note on the topology of the complements of fiber-type line arrangements in \(\mathbb C\mathbb P^2\)
type: Item
instance of: scholarly article
title: A note on the topology of the complements of fiber-type line arrangements in \(\mathbb C\mathbb P^2\)
zbMATH Open document ID: 1225.14045
author: Sheng-Li Tan
author: Fei Ye
author: Stephen Yau
published in: Pacific Journal of Mathematics
publication date: 2011-05-27T00:00:00Z
full work available at URL: p10.xhtml
review text: The authors show that the classifying space \(BDiff_+(S^2,\{x_1,\dots,x_n\})\) is a \(K(\pi,1)\) space, with \(\pi\) is the mapping class group of an \(n\)-punctured sphere. This implies in particular that the center-projecting braid monodromy of a fiber-type line arrangement determines the diffeomorphism type of its complement.
reviewed by: Alexandru Dimca
Mathematics Subject Classification ID: 14N20
Mathematics Subject Classification ID: 32S22
Mathematics Subject Classification ID: 57R22
Mathematics Subject Classification ID: 37E30
zbMATH DE Number: 5900526
zbMATH Keywords: line arrangement
zbMATH Keywords: braid monodromy
zbMATH Keywords: mapping class group
MaRDI profile type: Publication
OpenAlex ID: W2022016527
DOI: 10.2140/PJM.2011.251.207
description: scientific article; zbMATH DE number 5900526