The Euler characteristic of the configuration space of planar spidery linkages
The Euler characteristic of the configuration space of planar spidery linkages
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DOI：
10.2140/agt.2014.14.3659
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发表时间：
2015-01
影响因子：
0.7
通讯作者：
Y. Kamiyama;S. Tsukuda
中科院分区：
文献类型：
--
作者：
Y. Kamiyama;S. Tsukuda
平面机械连杆配置空间的拓扑结构已被许多人研究。在这些连接中，多边形和蜘蛛状的连接尤为重要。我们将多边形连杆的配置空间称为多边形空间。多边形空间的研究最初由 Hausmann [7]、Kapovich 和 Millson [10] 以及 Walker [15] 发起。他们的研究历史悠久，并受到许多参考。例如，Farber 和 Schutz [6] 已经确定了任意边长的多边形空间的同调群。
The topology of configuration spaces of planar mechanical linkages has been studied by many people. Among these linkages, polygonal and spidery ones are particularly important. We call the configuration space of a polygonal linkage a polygon space. The study of polygon spaces was originated by Hausmann [7], Kapovich and Millson [10] and Walker [15]. Their study has a long history and has begotten many references. For example, the homology groups of polygon spaces of arbitrary edge lengths have been determined by Farber and Schutz [6].