Henry C. King
Published 1998-11-23Version 1
This paper studies the configuration space of all possible positions of a linkage in R^n. For example, it shows that for every compact algebraic set, there is a linkage whose configuration space is analytically isomorphic to a finite number of copies of the algebraic set. If flexible edges are allowed, any compact set given by polynomial equalities and inequalities is the configuration space of a linkage. This paper also characterizes functions which can be computed by linkages.
Comments: 34 pages, 10 figures
Twisted cohomology of configuration spaces and spaces of maximal tori via point-counting
Manifold theoretic compactifications of configuration spaces
The inclusion of configuration spaces of surfaces in Cartesian products, its induced homomorphism, and the virtual cohomological dimension of the braid groups of S^2 and RP^2
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