Universality theorems for configuration spaces of planar linkages

Abstract

We prove realizability theorems for vector-valued polynomial mappings, real-algebraic sets and compact smooth manifolds by moduli spaces of planar linkages. We also establish a relation between universality theorems for moduli spaces of mechanical linkages and projective arrangements.

45 pages, 15 figures. See also http://www.math.utah.edu/~kapovich/eprints.html