Mathematics – Algebraic Geometry
Scientific paper
1998-07-04
Mathematics
Algebraic Geometry
22 pages, 10 figures, submitted to Proceedings of 1998 Gokova Conference
Scientific paper
A linkage is a finite graph with lengths assigned to each edge. A planar realization is a map to the plane which preserves edge lengths. It can be thought of as a mechanical device formed from stiff rods and rotating joints. We look at the configuration space of all planar realizations of a linkage (following work of Kapovich-Millson). We also look at configuration spaces of cabled linkages, where some edges are flexible cables. These configuration spaces are classified up to analytic isomorphism.
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