Algebraic & Geometric Topology 9 (2009) 593–624

DOI: 10.2140/agt.2009.9.593

Abstract

In this paper we study the homology and cohomology of configuration spaces F(Γ,2) of two distinct particles on a graph Γ. Our main tool is intersection theory for cycles in graphs. We obtain an explicit description of the cohomology algebra H^*(F(Γ,2);Q) in the case of planar graphs.

Keywords

configuration space, graph, planar graph, deleted product, cohomology

Mathematical Subject Classification

Primary: 55R80

Secondary: 57M15

References

Publication

Received: 24 November 2008
Revised: 28 February 2009
Accepted: 7 March 2009
Published: 30 March 2009

Authors