Planar Linkages and Algebraic Sets
Algebraic Geometry
2007-05-23 v1 Geometric Topology
Abstract
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.
Cite
@article{arxiv.math/9807023,
title = {Planar Linkages and Algebraic Sets},
author = {Henry C. King},
journal= {arXiv preprint arXiv:math/9807023},
year = {2007}
}
Comments
22 pages, 10 figures, submitted to Proceedings of 1998 Gokova Conference