Homology of the configuration spaces of quasi-equilateral polygon linkages

Kamiyama, Yasuhiko; Tezuka, Michishige; Toma, Tsuguyoshi

doi:10.1090/S0002-9947-98-02348-4

Homology of the configuration spaces of quasi-equilateral polygon linkages
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by Yasuhiko Kamiyama, Michishige Tezuka and Tsuguyoshi Toma PDF

Trans. Amer. Math. Soc. 350 (1998), 4869-4896 Request permission

Abstract:

We consider the configuration space $M_{n,r}$ of quasi-equilateral polygon linkages with $n$ vertices each edge having length $1$ except for one fixed edge having length $r \; (r \geq 0)$ in the Euclidean plane $\mathbf {R}^{2}.$ In this paper, we determine $H_{\ast }(M_{n,r}; \mathbf {Z})$.

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