Universality theorems for configuration spaces of planar linkages
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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
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This publication has 8 references indexed in Scilit:
- On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varietiesPublications mathématiques de l'IHÉS, 1998
- The symplectic geometry of polygons in Euclidean spaceJournal of Differential Geometry, 1996
- Topology of Real Algebraic Sets1992
- The homotopy invariance of the Kuranishi spaceIllinois Journal of Mathematics, 1990
- On the geometry of the planar 4-bar mechanismActa Applicandae Mathematicae, 1986
- Geometry and the ImaginationPhysics Today, 1953
- How to Draw a Straight LineScientific American, 1877
- On a General Method of describing Plane Curves of the nth degree by LinkworkProceedings of the London Mathematical Society, 1875