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math.AT2011★ 1 cited
The topology of spaces of polygons
Michael Farber, Viktor Fromm
Let denote the space of all closed -gons in (where ) with sides of length , viewed up to translations. The spaces …
math.AT2010
Telescopic Linkages and Topological Approach to Phase Transitions
Michael Farber, Viktor Fromm
A topological approach to the theory of equilibrium phase transitions in statistical physics is based on the Topological Hypothesis (TH), which claims that phase transitions are du…
math.AT2009★ 7 cited
Homology of planar telescopic linkages
Michael Farber, Viktor Fromm
We study topology of configuration spaces of planar linkages having one leg of variable length. Such telescopic legs are common in modern robotics where they are used for shock abs…