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

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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.
31 pages, 15 figures

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Algebraic Topology, Combinatorics, 55R80; 57M15.

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http://salesiana.dossiersoluciones.com/handle/123456789/223135

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.2180
 http://arxiv.org/abs/0903.2180

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arXiv