Semiconfiguration Spaces of Planar Linkages

Mathematics – Geometric Topology

Scientific paper

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6 figures

Scientific paper

This paper characterizes which subsets of C^n can be the set of positions of
n points on a linkage in the complex plane C. For example, assuming compactness
they are just compact semialgebraic sets. Noncompact configuration spaces are
semialgebraics sets invariant under the Euclidean group, with compact quotient.

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