English

Universality theorems for configuration spaces of planar linkages

Algebraic Geometry 2007-05-23 v1 Geometric Topology

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.

Keywords

Cite

@article{arxiv.math/9803150,
  title  = {Universality theorems for configuration spaces of planar linkages},
  author = {Michael Kapovich and John J. Millson},
  journal= {arXiv preprint arXiv:math/9803150},
  year   = {2007}
}

Comments

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