12 citations · 24 across the 2 of their papers we have counts for
2 papers
math.AT2004★ 12 cited
Collision Free Motion Planning on Graphs
Michael Farber
A topological theory initiated recently by the author uses methods of algebraic topology to estimate numerically the character of instabilities arising in motion planning algorithm…
math.DG2004★ 12 cited
L^2 torsion without the determinant class condition and extended L^2 cohomology
M. Braverman, A. Carey, M. Farber +1
We associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatoria…