Planar Linkages and Algebraic Sets
Abstract
Description
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.
22 pages, 10 figures, submitted to Proceedings of 1998 Gokova Conference
22 pages, 10 figures, submitted to Proceedings of 1998 Gokova Conference