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math.AT2007★ 4 cited
On the conjecture of Kevin Walker
Michael Farber, Jean-Claude Hausmann, Dirk Schuetz
In 1985 Kevin Walker in his study of topology of polygon spaces raised an interesting conjecture in the spirit of the well-known question "Can you hear the shape of a drum?" of Mar…
math.GT2007
Geometric descriptions of polygon and chain spaces
Jean-Claude Hausmann
We give a few simple methods to geometically describe some polygon and chain-spaces in R^d. They are strong enough to give tables of m-gons and m-chains when m <= 6.