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arXiv · 0903.2180

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

Kathryn Barnett·Michael Farber
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Abstract

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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Kathryn Barnett, Michael Farber. 2009-03-12. Topology of Configuration Space of Two Particles on a Graph, I. https://arxiv.org/abs/0903.2180

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