Realization of intermediate links of line arrangements
Geometric Topology
2013-01-15 v2 Combinatorics
Abstract
We investigate several topological and combinatorial properties of line arrangements. We associate to a line arrangement a link obtained by intersecting the arrangement with some sphere. Several topics are discussed: (a) some link configurations can be realized by complex line arrangements but not by real line arrangements; (b) if we intersect the arrangements with a vertical band instead of a sphere, what link configurations can be obtained? (c) relations between link configurations obtained by bands and spheres.
Keywords
Cite
@article{arxiv.1207.0584,
title = {Realization of intermediate links of line arrangements},
author = {Arnaud Bodin},
journal= {arXiv preprint arXiv:1207.0584},
year = {2013}
}
Comments
v1 is the second part of the first version of arXiv:1205.2203. In v2, addition of a missing case in the proof of Theorem 1