15 citations · 73 across the 18 of their papers we have counts for
Showing 2006 · math.ATShow all
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math.AT2006★ 5 cited
Symmetric Motion Planning
Michael Farber, Mark Grant
In this paper we study symmetric motion planning algorithms, i.e. such that the motion from one state A to another B, prescribed by the algorithm, is the time reverse of the motion…
math.AT2006★ 3 cited
Homology of planar polygon spaces
Michael Farber, Dirk Schuetz
In this paper we study topology of the variety of closed planar polygons with given side lengths. We describe the Betti numbers of the moduli spaces as functions of the length vect…
math.AT2006★ 1 cited
Novikov-Betti numbers and the fundamental group
Michael Farber, Dirk Schuetz
We prove that nonvanishing of the first Novikov-Betti number implies that the fundamental group contains a nonabelian free subgroup.