Generalized Lantern Relations and Planar Line Arrangements

Details Generalized Lantern Relations and Planar Line Arrangements Generalized Lantern Relations and Planar Line Arrangements

2011-07-03

arxiv.org/abs/1107.0476v2

Mathematics

Geometric Topology

13 pages, 12 figures (corrected minor errors and improved figures)

Scientific paper

In this paper we show that to each planar line arrangement defined over the real numbers, for which no two lines are parallel, one can write down a corresponding relation on Dehn twists that can be read off from the combinatorics and relative locations of intersections. This leads to an alternate proof of Wajnryb's generalized lantern relations, and of Endo, Mark and Horn-Morris' daisy relations.

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