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arXiv 1107.0476math.GT
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广义Lantern关系与平面直线排列

Generalized Lantern Relations and Planar Line Arrangements

Eriko Hironaka

摘要:

在本文中,我们表明,每一个平面线的安排定义在实数,其中没有两条线是平行的,人们可以写下一个对应的关系,德恩扭曲,可以读出的组合和相对位置的交叉点。这导致了Wajnryb的广义灯笼关系,以及Endo,Mark和Horn-Morris的雏菊关系的另一种证明。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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