Abstract
Among planar mechanical linkages, polygonal and spidery linkages are particularly important. We define a planar linkage which contains them. Constructing a Bott–Morse function on the configuration space of this, we determine the Euler characteristic. In particular, we give a new calculation of the Euler characteristic of polygon spaces.
Citation
Yasuhiko Kamiyama. Shuichi Tsukuda. "The Euler characteristic of the configuration space of planar spidery linkages." Algebr. Geom. Topol. 14 (6) 3659 - 3688, 2014. https://doi.org/10.2140/agt.2014.14.3659
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