2014年

# The Euler characteristic of the configuration space of planar spidery linkages

ALGEBRAIC AND GEOMETRIC TOPOLOGY
• Yasuhiko Kamiyama
• ,
• Shuichi Tsukuda

14
6

3659

3688

DOI
10.2140/agt.2014.14.3659

GEOMETRY & TOPOLOGY PUBLICATIONS

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.

リンク情報
DOI
https://doi.org/10.2140/agt.2014.14.3659
Web of Science