Generalized Lantern Relations and Planar Line Arrangements

By Eriko Hironaka. 2011

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In this paper we show that to each planar line arrangement dened 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 o 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.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8a42aee9936799bc8c38021d3b8752e700f683e3