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2009 Topology of configuration space of two particles on a graph, I
Kathryn Barnett, Michael Farber
Algebr. Geom. Topol. 9(1): 593-624 (2009). 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.

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Kathryn Barnett. Michael Farber. "Topology of configuration space of two particles on a graph, I." Algebr. Geom. Topol. 9 (1) 593 - 624, 2009. https://doi.org/10.2140/agt.2009.9.593

Information

Received: 24 November 2008; Revised: 28 February 2009; Accepted: 7 March 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1171.55007
MathSciNet: MR2491587
Digital Object Identifier: 10.2140/agt.2009.9.593

Subjects:
Primary: 55R80
Secondary: 57M15

Rights: Copyright © 2009 Mathematical Sciences Publishers

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