Topology of configuration space of two particles on a graph, I
Kathryn Barnett, Michael Färber · Algebraic & Geometric Topology · 2009
In this paper we study the homology and cohomology of configuration spaces [math] of two distinct particles on a graph [math] . Our main tool is intersection theory for cycles in graphs. We obtain an explicit description of the cohomology algebra [math] in the case of planar graphs.