Generalized Lantern Relations and Planar Line Arrangements

Eriko Hironaka

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arXiv · 1107.0476

Generalized Lantern Relations and Planar Line Arrangements

Eriko Hironaka

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Abstract

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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BibTeX RIS

Eriko Hironaka. 2011-07-03. Generalized Lantern Relations and Planar Line Arrangements. https://arxiv.org/abs/1107.0476

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