Topology of Configuration Space of Two Particles on a Graph, I
Algebraic Topology
2009-03-13 v1 Combinatorics
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.
Cite
@article{arxiv.0903.2180,
title = {Topology of Configuration Space of Two Particles on a Graph, I},
author = {Kathryn Barnett and Michael Farber},
journal= {arXiv preprint arXiv:0903.2180},
year = {2009}
}
Comments
31 pages, 15 figures