Affine configurations and pure braids
几何拓扑
2009-01-14 v2 代数拓扑
摘要
We show that the fundamental group of the space of ordered affine-equivalent configurations of at least five points in the real plane is isomorphic to the pure braid group modulo its centre. In the case of four points this fundamental group is free with eleven generators.
引用
@article{arxiv.math/0601476,
title = {Affine configurations and pure braids},
author = {Pablo Suárez-Serrato},
journal= {arXiv preprint arXiv:math/0601476},
year = {2009}
}
备注
5 pages, 1 figure, final version; to appear in Discrete & Computational Geometry, available from the publishers at http://www.springerlink.com/content/384516n7q24811ph/