Topology of Configuration Space of Two Particles on a Graph, I

Details Topology of Configuration Space of Two Particles on a Graph, I Topology of Configuration Space of Two Particles on a Graph, I

2009-03-12

arxiv.org/abs/0903.2180v1

Mathematics

Algebraic Topology

31 pages, 15 figures

Scientific paper

In this paper we study the homology and cohomology of confguration spaces of
two distinct particles on a graph. Our main tool is intersection theory for
cycles in graphs. We obtain an explicit description of the cohomology algebra
of the configuration space in the case of planar graphs.

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