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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.