Homology of the configuration spaces of quasi-equilateral polygon linkages

Authors:
Yasuhiko Kamiyama, Michishige Tezuka and Tsuguyoshi Toma

Journal:
Trans. Amer. Math. Soc. **350** (1998), 4869-4896

MSC (1991):
Primary 55R55; Secondary 51N20

DOI:
https://doi.org/10.1090/S0002-9947-98-02348-4

MathSciNet review:
1615983

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

**Yasuhiko Kamiyama**

Affiliation:
Department of Mathematics, University of the Ryukyus, Nishihara-Cho, Okinawa 903-01, Japan

Email:
kamiyama@sci.u-ryukyu.ac.jp

**Michishige Tezuka**

Affiliation:
Department of Mathematics, University of the Ryukyus, Nishihara-Cho, Okinawa 903-01, Japan

Email:
tez@sci.u-ryukyu.ac.jp

Keywords:
Polygon,
linkage,
homology

Received by editor(s):
December 21, 1995

Article copyright:
© Copyright 1998
American Mathematical Society