Geodesic
The Euler characteristic of the configuration space of planar spidery linkages
Kamiyama, Yasuhiko1 ; Tsukuda, Shuichi1
1Department of Mathematics, University of the Ryukyus, Nishihara-Cho, Okinawa 903-0213, Japan
Algebraic and Geometric Topology, Tome 14 (2014) no. 6, pp. 3659-3688
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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.

DOI : 10.2140/agt.2014.14.3659
Classification : 58E05, 57M20
Keywords: configuration space, planar linkage, Bott–Morse function

Kamiyama, Yasuhiko  1   ; Tsukuda, Shuichi  1

1 Department of Mathematics, University of the Ryukyus, Nishihara-Cho, Okinawa 903-0213, Japan 
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Kamiyama, Yasuhiko; Tsukuda, Shuichi. The Euler characteristic of the configuration space of planar spidery linkages. Algebraic and Geometric Topology, Tome 14 (2014) no. 6, pp. 3659-3688. doi: 10.2140/agt.2014.14.3659

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