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arxiv: 0903.2180 · v1 · submitted 2009-03-12 · 🧮 math.AT · math.CO

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

classification 🧮 math.AT math.CO
keywords cohomologyconfigurationgraphgraphsparticlesspacealgebracase
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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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