arXiv:0903.2180 Abstract | arXiv Analytics

arXiv:0903.2180 [math.AT]Abstract References Reviews Resources

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

Published 2009-03-12Version 1

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.

Comments: 31 pages, 15 figures

Categories: math.AT, math.CO

Subjects: 55R80

Keywords: configuration space, cohomology algebra, explicit description, intersection theory, main tool

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