Realization of intermediate links of line arrangements

Arnaud Bodin

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arXiv · 1207.0584

Realization of intermediate links of line arrangements

Arnaud Bodin

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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.

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Arnaud Bodin. 2013-01-14. Realization of intermediate links of line arrangements. https://arxiv.org/abs/1207.0584

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